{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h2>Bayesian treatment of the Olympic regression problem</h2>\n",
    "<p>In this notebook, we will perform a Bayesian treatment of the Olympic regression problem. We start by loading the data and rescaling it to aid with numerics.</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import urllib\n",
    "# urllib.urlretrieve('https://github.com/sdrogers/fcml/raw/master/notebooks/data/olympic100m.txt', 'olympic100m.txt')\n",
    "import numpy as np\n",
    "data = np.loadtxt('data100m.csv',delimiter=',')\n",
    "x = data[:,0][:,None]\n",
    "t = data[:,1][:,None]\n",
    "x = x - x[0]\n",
    "x = x/4.0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<p>And let's plot the data *again*</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x10936c0d0>]"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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D6w6al26miwh9AMgMq2tl0btsEvoAUFD00wcArIrQB4CEEPoAkBBCHwASQugDQEIYkQsA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\nstuG+ZPfl7oAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a7551d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pylab as plt\n",
    "%matplotlib inline\n",
    "plt.plot(x,t,'ro')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<p>We'll define a Gaussian prior over $\\mathbf{w}$, with mean $\\mathbf{0}$ and covariance $\\left[\\begin{array}{cc} 100& 0\\\\0 & 5\\end{array}\\right]$. We'll also fix $\\sigma^2=2$.</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "prior_mean = np.zeros((2,1))\n",
    "prior_cov = np.array([[100,0],[0,5]])\n",
    "sig_sq = 2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<p>Let's see what this prior means by sampling some $\\mathbf{w}$ vectors from it and plotting the models</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(9, 12)"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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9QGUITT+qjFrecV13J5CvHBDIE4kEZ89aqDcoyhiJXerSO9PvXswdtbyzsyPX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\n9BVFUaYIDfqKoihTxP8P6csZMlmN3QEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b574c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "w_samp = np.random.multivariate_normal(prior_mean.flatten(),prior_cov,20)\n",
    "plt.figure()\n",
    "plt.plot(x,t,'ro')\n",
    "plot_x = np.array([[1,0],[1,30]])\n",
    "plt.plot([0,30],np.dot(w_samp,plot_x.T).T)\n",
    "plt.ylim([9,12])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<p>we can also draw a contour plot of the prior:</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x10a02a490>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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yZAjs7OxgbGws8bmWlpbCz88P165dg4+PDwwMDODs7IxJkyY1KhJRUVE4duwY\nTp8+DWNjYyxcuBCOjo5NmuOSk5Oxe/dunD17Fl9//TVcXV2bHVRRXl6O3bt349dff8XChQvx3Xff\nvZffzI0bNzB//nxMnz4dP//887/O98CE4TNBKBTCzc0Nhw4dwrFjxzBy5Mh37jMjIwPLly9HZGQk\n9u7di9GjRzfLPyEUCnH27Fls3LgR6urq2LBhA2xtbRs9VyQSwdfXF/v27UNkZCTmzJmDuXPnNmiv\nJiI8evQIHh4euHTpEgwNDfHVV19h/PjxEuYOkUiEsLAw3LhxAzdv3kRCQgJsbW0xbNgwDB48GEZG\nRrzBrK6uDs+fP0dwcDBCQkIQFhaG9PR0GBkZcXkOPXr0gIGBAVRVVSUGz/z8fF5ug7gkt7h+UmFh\nIV6/fo2KigouokjsgK6fy1B/32eRSCSRwyA2QZWUlKBFixbo2rUrrzaSuLS2WKTEPpA3nb3l5eVc\nFFJUVBQiIiLw/PlzCAQC9O7dG5aWlujbty/69u0LOTk53rmFhYUIDAzkIsHKyspgb2+P0aNHw97e\nXsJPUVtbi7t378LLywvXrl2Dqakppk6diokTJza4WVJNTQ0uX76MAwcOIDU1FYsWLcL8+fMhIyPT\n4HcI+N++ILt378bRo0fh4uKCdevWNTtUNTMzE66urggKCsIvv/yCcePGvbMvLj8/H7NmzUJBQQG8\nvLzey4rkU4EJw2dAQUEBpkyZAoFAAE9Pz3cuWywUCvHbb7/h559/xtKlS+Hq6tqsEEgigq+vL1xd\nXdGxY0ds3rwZgwcPbrR9XV0dPD09sWPHDrRu3RorV67El19+2eDqoKCgACdPnsSRI0cAANOnT8eU\nKVMkxEMoFOL+/fu4ePEirl27hi5dumD06NEYNWoUbGxseDO3mpoahISEcPkOT548gZaWFqytrWFl\nZQULCwsYGRnxzqmqqkJMTAyio6MRGxvLbXWZnJyMtm3bcoOwuro6L69BXMhORkYGnTt3fm/Zs1VV\nVdzeC+LcBXHpi6ysLGRkZCAtLQ3Z2dlQUlKCjo4O5ycRrxTeTOrLzs5GWFgYnjx5wiUEqqqqck7m\nwYMHSwy4ycnJuHXrFry9vfHw4UP069ePq331pqhUV1fDx8cHHh4eCAwMhJOTE+bNmwcrK6sGB+Nn\nz55h3759uHHjBqZOnYrVq1c36dfKy8vDtm3b4OHhgcWLF+Obb75p9k59AQEBWLhwIfT19fHbb781\nGXXVHIhdS8eaAAAgAElEQVQIe/fuxfbt23H8+HE4ODi8U3+fCkwYPnGePXsGJycnTJ48GW5ubu8c\nAZOYmIiZM2cCAI4cOdKgSaYhXr58iZUrVyIlJQXbt2+Ho6NjozOu2tpanDhxAlu2bIG2tja+/fZb\nDBs2rMH2T58+xa+//gpvb284Ojpi7ty5ErtwERGePn2K06dP4/z581BVVYWzszPGjx8PPT09Xn9J\nSUm4efMmfH19ERQUBH19fS7foV+/fjwHfXl5OcLCwvD06VNuV7K0tDTo6uqiR48eMDQ0hL6+PnR1\ndaGjoyMxSy4vL+etGsQVV8U7u71ZaVW8k9ubzuf65TDEFVXfLIMh3qVNvFqQl5fniY9AIEBaWhpX\nTlvsbI6KioKUlBRvO84+ffpAQ0ODe8ZCoRARERHc5kj379+Huro67O3t4eDggP79+/PEs6ysDLdu\n3cLFixfh5+cHa2trTJkyBU5OThK+nry8PJw8eRKHDx9Gp06dsGTJEkyZMqXBJMasrCzs3bsXx44d\nw8SJE7Fu3bomZ+FpaWn4/vvv4e/vj82bN2P69OnNEuSamhps3boVBw4cwI4dOzB9+vR3Xj08evQI\nkyZNwoIFC7B+/frPPmuaCcMnzNWrVzF37lz89ttvmDRp0jv1RUQ4evQovvvuO6xfvx7Lli1r1o+o\noqICP/30E44fP47169dj8eLFjdpTxSamDRs2QEdHBxs3bmwwtE8kEuHGjRvYuXMnMjMzsWTJEsya\nNUvCjJCfn4+TJ0/i2LFjEAgEmDp1KiZPnszbJ4KIEB4ezpX0fvXqFRwcHDBixAgMGzaM12d+fj6X\nKR0UFIT4+HgYGxtzVVnNzMxgaGjI3R8RITs7m8uMFjuixdVXq6uroaKiwoWvysnJQVZWFjIyMujS\npQuXz9C+fXvOAd2qVSsJ53N9U1L9iqolJSUoLi7mKqmKs5yzs7NRVlYGNTU1aGlpoVu3bpzD2cDA\nALq6utyqjIiQk5ODZ8+eITw8nAtHbdGiBWxsbDBw4EAMGjQIvXr14r4PAoEAT58+xe3bt+Hj44Ok\npCSMGDEC48aNg4ODA2/wr6iowPXr13H69Gk8evQITk5OmDNnDqytrXmDo0gkgp+fH/bv34/Q0FAs\nXLgQS5YskVhtAP/LTdizZw9+//13TJ48Gd9//32TJqOnT59i2bJlICIcPHgQZmZmjbatT0REBKZN\nmwZtbW0cPny4wWv5K2RnZ8PJyQna2to4duzYBykh/k/BhOETZf/+/di2bRuuXbv2zmn5JSUlmDt3\nLuLj4+Hp6fnW8FExt2/fxvz58zFgwADs2rWryYiQu3fvYtWqVWjXrh22bduGQYMGSbQRCoXw8vLC\n5s2b0a5dO6xduxbjx4/nrYLEPgZ3d3f4+vpi3LhxmD17Nvr168cbaGJiYnDmzBmcO3cOUlJSmDhx\nIpycnGBpackNcLW1tQgKCoKvry/8/PyQlpaG/v37c9VZzc3NuQG0rq4OUVFRCA0NxfPnz/H8+XNE\nR0ejTZs2XLE9XV1drvqqlpaWxB4ItbW1ePXqFbdqKCkp4WVAi0NWRSIRRCIRl+jWsmVL3j7P4v0X\n6q8WOnbsyHuv6upqZGRkICUlBSkpKbzieGlpadDS0uKymsUrBXEZDCJCamoq52gOCAjA69evMXTo\nUNjb22PEiBE8c2VOTg6uX7+Oy5cvIzg4GPb29pgyZQocHBx4fo3c3Fx4eHjgyJEjaNu2LRYvXgwX\nFxcJZ29sbCx2796NS5cuYcaMGVi7dm2DA39BQQG2bNkCDw8PrFixAqtXr240l0UkEuH48eNYt24d\npk2bhp9++qlZGwzV1NRg/fr18PLywpkzZ945yqiqqgrTp0/nntnfKXX+KcCE4RODiLBhwwacP38e\nt2/ffmeH1osXLzB+/HjY2dlhz549zZrFlJaWYtWqVbhz5w4OHz6M4cOHN9o2PT0dq1atQlhYGHbs\n2IGJEydKLKOJCJcvX8YPP/wAaWlpbNiwAcOHD+e1EwgEuHTpEnbt2oXi4mIsXrwYM2bM4Jl+SkpK\n4OnpiWPHjiE7OxuTJ0/GlClTYGZmxvVVWlqKGzdu4OrVq/jzzz9hYGDAFeSztLTkRKikpARBQUEI\nCgrCw4cP8fz5c2hqasLCwoJXdK/+LLKwsBDx8fFISkriZUSLs6HLysogIyPD7Qct3p+hvgO6devW\nDa4Y6u/zLN7f+fXr13j9+jUKCgogEomgpKQEFRUVLjxVS0sL2tra0NHRgZaWFndvtbW1iI2N5ZzN\nYWFhCA8Ph6KiImxsbDhx1NXV5Z5bRkYG/vzzT/j6+uLOnTvQ1taGo6MjJkyYAENDQ+4ZvHr1Cpcu\nXcLp06fx8uVLTJkyBXPmzEGvXr14n7e/vz/c3d3x4MEDzJ07F8uWLZPwjWVlZWHHjh04deoU5syZ\nA1dX1wZrOKWkpMDV1RVPnjzBnj174OTk1KipJj8/H8uXL0dYWBhOnjzZ7CxoX19fzJgxA6tXr8aa\nNWveyRQkEomwZs0abte6D7WV6YekKWHgarp8rn//u4XPB5FIRCtXriQzMzPKz89/5/4uXbpEcnJy\ndOrUqWaf8+jRI+rWrRvNmTOHSktLG21XV1dHu3fvJllZWdq4cSNVVlY22O7BgwdkZWVFZmZmdOvW\nLRKJRLzjtbW1dOTIEdLW1qZ+/frR1atXSSgU8tpERETQnDlzqGvXrjRx4kTy9fUlgUDAHa+srCQv\nLy9ydHSkzp0706hRo+jo0aOUl5fHu97AwEBat24dWVpaUseOHWnIkCG0ceNG+vPPP6mkpIRrW1VV\nRSEhIfT777/TwoULacCAASQrK0tdunQhS0tL+uqrr2jdunV06NAhunnzJkVERFBBQYHEdRMRCYVC\nKi0tpdzcXEpNTaX4+HiKjY2lmJgYevnyJcXFxVFSUhJlZWVRUVER1dTUNPgcy8vLKTExkQIDA+nM\nmTO0detWmjdvHg0dOpQ0NTWpbdu21KNHD5o0aRJt3ryZfHx8KDc3lztfIBBQZGQkHTp0iFxcXEhd\nXZ1UVFRo6tSpdPr0aSooKOB9Jv7+/rR06VJSVVWlHj16kJubGyUnJ/OuKTk5mX744QdSU1Mja2tr\nOn36tMT1JyYm0pIlS0haWpoWLlxIaWlpEveWmZlJCxYsIDk5OdqxYwdVV1c3+Azu3r1LRkZGNGrU\nqAb7qc/FixdJUVGRfvzxR6qrq2uyrZi0tDSysLCgyZMnN/p9bi4ikYg2b95MOjo6lJ6e/k59fQz+\nf+xseFxt7MDn8vc5CYNIJKIVK1aQhYUFFRUVvXNf27dvJzU1NQoNDW32OTt37iQFBQW6cuVKk21j\nYmKoT58+NHjwYEpISGiwTVZWFk2ZMoXU1NTIw8NDYtAUCATk4eFB3bt3p6FDh9L9+/clrsfX15eG\nDBlCKioq5ObmRjk5ObzjT58+pfnz55OMjAwNGzaMjh8/TsXFxVyb8vJyunDhAk2ZMoWkpaXJzMyM\nvvvuO7p37x5v8MnKyqJz587RkiVLqHfv3tSuXTsyMTGhGTNm0L59+8jf359ycnJ4olZUVEShoaF0\n8eJF2rt3L61evZqmTJlCw4YNIxMTE1JXV6eOHTtSixYtqEOHDiQvL0/q6uqkra1Nurq6pK+vT3p6\neqSjo0OampqkpKREXbp0oZYtW1Lr1q1JQUGB9PX1qV+/fuTk5EQLFiwgNzc3OnHiBN27d49SU1N5\n4lhRUUHh4eHk4eFBa9asoWHDhpG0tDSpqanRxIkTae/evRQaGsqdIxKJKCEhgQ4cOMAJqo2NDW3f\nvp0SExO5foVCIQUFBdGiRYtITk6OBg0aRB4eHryBs66ujq5cucJ9Vlu3bqXXr1/zPs+8vDxydXUl\nGRkZWrx4Me+zFBMbG0tjxowhbW1t8vb2bvB7VVNTQ5s2bSI5OTn6/fffJSYa9cnOzqahQ4fSwIED\nKTs7u9F29amsrKTJkyeTlZUVb2Lxd9m1axdpa2tTZmbmO/f1T8KE4RNhw4YNZGpq+s6iIBQKaenS\npdSrVy/KyMho1jllZWU0YcIE6tOnT5MzMZFIRO7u7iQrK0sHDhxo8EcpFArpt99+Izk5Ofruu++o\nvLxcoo2/vz+ZmpqStbU1BQQESLzH1atXydzcnHr27EkeHh68WWh1dTWdOHGCLCwsSEtLizZt2sS7\nz9raWrp+/TpNmjSJOnfuTHZ2dnTw4EHKysri2pSXl9P169dp8eLFpK+vTzIyMuTo6Eg7d+6kBw8e\nUEVFBde2qKiI7t69S3v37qXZs2eTjY0NycrKUqdOncjExIQcHR1p6dKltH37dvLw8KDbt29TeHg4\npaamUnFxcYOriKYQiURUWVlJOTk5FB0dTffv36cLFy7Q/v376bvvviMXFxfq378/qaqqUps2bcjI\nyIjGjx9PP/zwA50/f54SEhK49xSJRBQfH08eHh60YMECMjIyoi5dutDYsWPJ3d2dkpKSeM/V19eX\n5s+fTwoKCmRubk67du3iDag1NTV08eJFGjFiBMnKytLq1aslVhERERHk4uJCMjIytH79enr16hXv\neH5+Pq1cuZJkZGTo559/5j1rMb6+vqSjo0Pjx49vdECPjo6m3r17k4ODQ5MDuEAgoJ9++olUVFTo\n4cOHb/8A/v+5rV+/nrS1tSXu7++wbds2MjAw4K3KPnWYMHwCHDhwgHR1dd95hiIQCGj69OnUv39/\niRlbY6Snp5OxsTHNmjWr0SU8EVFxcTE5OTmRubk5xcXFNdgmKSmJBg4cSDY2NhQdHd3ge02YMIG0\ntLTowoULEsJy584dsrCwIFNTU7py5QpvUC0uLqatW7eSkpISDR8+nLy9vXnH4+LiaPXq1aSgoED9\n+vWjgwcP8n6IBQUF9Mcff9DIkSOpU6dONHjwYNq+fTuFhYVx/QiFQoqIiCB3d3eaMmUKaWtrU8eO\nHalfv360cOFCOnDgAAUEBEisHqqqqig+Pp7u3r1Lnp6etHfvXlq3bh0tWLCAJk+eTKNGjSJbW1vq\n27cvmZubk7GxMfXs2ZN69epFpqamZGlpSQMGDCB7e3uaMGECzZw5k1atWkVbtmyhI0eOkLe3Nz17\n9owKCwt571tRUUERERF07tw5+v7772ns2LGkoaFBXbp0oaFDh9L3339Pt27d4pnJcnNz6cyZMzRt\n2jRSVFQkQ0ND+u677yg0NJTrWyAQ0J07d2jmzJnUtWtXcnBwoCtXrvBMMsnJybR69WqSkZGhSZMm\nUXh4OO+zTE5Opjlz5pCsrCy5ublJTBCSk5PJ2dmZNDU16cqVKxLfhaqqKlq/fj3Jy8vTqVOnGpyE\n1NbW0nfffUcqKioSE4w38fb2Jnl5efLw8GiyXX3c3d1JTU2NYmNjm31OY3z77bdkZWXVoBB+ijBh\n+MjcunWLlJSUeMv3v4NAIKCpU6fS0KFDm/3li4yMJDU1Ndq5c2eTS/Lo6GjS1dWlxYsXNyoeHh4e\nJCcnRzt37uSZOIj+N+CKVxobNmyQsN/GxcWRg4MDaWtr07lz53gDfklJCW3cuJFkZWXJxcWFIiMj\nef36+PiQnZ0dKSgo0Nq1ayk+Pp47XlFRQadPnyZ7e3vq3LkzOTs709mzZ3nmpvT0dDp06BBNmDCB\nZGRkSFdXl2bNmkVHjx6lqKgo3r3k5OSQr68v7dq1i2bPnk0DBgwgZWVlat26NXXr1o0GDBhAX375\nJS1dupR+/vlncnd3p9OnT9O1a9fozp079PDhQwoNDaVnz55RREQEPX/+nMLCwig4OJgCAgLo5s2b\ndP78efrjjz9o+/bttHbtWpoxYwaNGDGCevXqRV27dqWOHTuSsbExTZgwgdavX0+enp704sULqq2t\n5a4zPz+fvL29af369TRw4EDq0KEDWVlZ0ffff08PHjzg7kkoFFJwcDC5urqStrY2aWtr04YNG3jm\nwYqKCjpx4gRZW1uTmpoabd26lbcKKC0tpd27d5OqqiqNGjWKwsLCeJ9tQkICffnll6SqqkoeHh4S\n3zN/f3/S19encePGNbg6CAsL43wnjU12bt++TYqKirRnz563fo/Fq8ym2tXn+PHjpKKi8s7iIBKJ\nyMXFhSZMmPCXV5EfAyYMH5H4+HhSUFCgoKCgd+pHJBLR/PnzydbWttmiEBISQgoKCuTp6dlkO19f\nX5KXl6fjx483eLyqqopmzZpFBgYG9Pz5c4njaWlp3Gw5JiZG4tz169eTrKws7dy5k2cyqqmpoX37\n9pGCggJNnTqVN1gJBAI6ffo09ejRg0xNTenkyZM8wYqMjKQFCxaQtLQ0jRgxgjw9PXkz1piYGPrp\np5/I1NSUZGVlacqUKXTy5EmeHbiyspLu3btHmzZtotGjR5OSkhLJyMjQ4MGDadmyZXTw4EG6e/cu\npaWlSQihQCCg3NxcioqKosDAQPL29qazZ8/S0aNH6cCBA/Trr7/SL7/8Qr/88gu5u7vT4cOH6dSp\nU3T58mW6c+cOhYaGUkpKSoOf5evXryksLIzOnj1LP/74I02cOJH09PSoffv21KdPH1qyZAl5enry\nzGtVVVXk7+9Prq6uZGxsTLKysjR9+nS6ceMG99zEPpvly5eTvLw8DRw4kDw9PXmfSXh4OE2bNo2k\npaVp5cqVvIG8qqqK9u/fT8rKyjRp0iSemYrof0ENFhYW1L9/f4nVZHV1Nbc6OHfunMQ9V1ZW0qJF\ni6h79+707NkzieNERKmpqWRiYkKzZ8/mieSbZGdnk7GxMa1atarZ4nD06FHS0NB4q8P7bVRXV5O1\ntTW5ubm9Uz//BEwYPhKVlZVkbGxMv/322zv3tXHjRurdu3eTUUT1CQ4OJnl5ebpx40aT7Tw8PJoU\nrqysLLKwsKBJkyZRWVmZxPErV66QvLw8bdmyRWLwfPz4Menr69OECRN49n8iIj8/P9LX1yd7e3t6\n8eIF97pQKCQvLy/S19en/v370+3bt7kft1AopBs3bpCtrS2pqKjQxo0beYNjbm4u7dq1i0xMTEhF\nRYWWL19O9+/f582eQ0NDyc3NjTfLXr16NV24cIHS0tJ4A8nr16/pwYMHdOTIEVq7di1NnDiRLC0t\nSUlJiVq2bElycnJkaGhINjY25ODgQJMmTaLp06fT/PnzafHixbR06VJasmQJLVy4kGbPnk1Tpkwh\nR0dHGjx4MJmampK6ujq1adOGOnfuTIaGhjR8+HCaP38+7dq1i27cuEFJSUm8mWdZWRkFBgbSzp07\nady4cSQrK0va2to0b948unz5Mu+7kZaWRr/88gv179+fZGRkaO7cufTw4UPu/mpqaujChQs0ZMgQ\nUlJSIjc3N94qISMjg1asWMEJRH2TXXl5Obm5uZGsrCytW7eOJ24CgYDzP7m5uUlECz158oR0dXVp\n5syZDYriuXPnSE5Ojs6ePStxTPwMHBwcaMSIEQ36tsQUFRWRpaUlLV++vNnisHfvXjIwMHhnH2B2\ndjapqKiQn5/fO/XzoWHC8JFYsmQJTZo0qdlfzMY4e/YsaWpq8kITmyIyMpIUFBQajfoQc+DAAVJT\nU5OY5dfvR11dnTZv3ixxDwKBgFxdXUlTU5OCg4Mljv3444+kqKhIFy5c4B0rKCigKVOmkJaWloRo\nPX78mPr06UPm5ubk5+fHE4QLFy5Qr169yMTEhM6cOcPNGEUiEQUEBNDEiROpa9euNGPGDLp37x7P\np3Dv3j1atGgRqaiokK6uLq1YsYJu3rzJE7ry8nLy9/enTZs2kaOjI2loaFDHjh3J0tKSpk2bRps2\nbaKzZ8/S48ePKSMjo8kZ619BJBJRUVERvXjxgnx8fGj//v20bNkysre3JzU1NerUqRP169ePli1b\nRmfOnOHNaIVCIUVGRtLu3bvJzs6OOnXqRCNGjKAjR47wBvn09HTatm0b6enpkZGREe3fv58nIi9e\nvKAZM2aQtLQ0rV27licC2dnZtGjRogZXfJmZmfTll19St27d6M6dO7z7Sk9PJzs7O7KyspJw7paV\nlZGLiwsZGxs36Ph9/vw5aWhoNPi9I/pfhJTYz9bUROn169dkbm5O69ata7TNm6xYsYKGDh3a7PDX\nxrhz5w6pqKi8l5D0DwUTho/AnTt3SE1N7Z1nH5GRkSQnJ9egCachMjIySE1NrdEZl5jDhw+ThoaG\nhDlAzKNHjxo1Q5WVldGYMWPI1tZWIgojLy+PBg8eTEOHDpWwJ/v4+JCKigqtXLmSN9srKiqiOXPm\nkIqKikTYq7+/P5mbm1Pv3r3J29ub5zz18vIic3Nz0tfXJ3d3d55fIT4+nlxdXUlVVZVMTExoy5Yt\n9PLlS+64QCCgR48e0YYNG8jGxoY6dOhA1tbWtHr1avLy8uJF/tS/7/DwcLp06RLt3buX1q5dS9Om\nTaNRo0aRjY0N9ezZk7p160bKysokJydHMjIyJCsrSwoKCqSurk76+vpkYWFBQ4cOJWdnZ1qyZAlt\n3ryZTpw4QQEBAZSZmSkxEL569Yr8/f1px44d5OTkRAoKCqSlpUWzZs2ic+fO8b5fJSUldO7cOZow\nYQJ17tyZxo0bR9euXeMGOZFIRPfu3eN8La6urrzJRlpaGi1YsIBkZGTIzc2NN6OPjY2lkSNHkqGh\noUTYsY+PD6mpqdGSJUt4viWhUEh79uwheXl5un79Ou8ckUhEv/76KykqKtKDBw/oTbKyssjY2JhW\nrFjRaGTcvHnzqH///k2uHPLz80lPT48OHDjQaJv6CAQCsre3pzVr1jSrfVOsXr2aJk6c+M79fCiY\nMPzDVFRUUPfu3cnHx+ed+ikvLycDA4NmR1lUVlaSubk5bdu2rcl2Fy9eJBUVlUbzEx49ekTy8vJ0\n8+ZNiWOFhYVkZWVFM2bMkEh0ioiIIE1NTVq3bh3PrFRbW0tr1qwhdXV1icgSHx8fUlVVpUWLFkk4\njCdMmEDdunUjLy8vbnAQiUR08eJFMjIyIisrK7p+/TpvdXDjxg2ys7MjeXl5WrNmDc9MVVdXR35+\nfjR37lxSUFCgnj170tq1a8nPz483CIpEIkpKSqKzZ8/SmjVraPjw4aSqqkrt2rWjnj170tixY2nJ\nkiW0ZcsWOnbsGF2/fp2CgoIoIiKCEhMTKTMzk/Ly8qiwsJAKCgooJyeHUlNTKTo6mkJCQuj27dvk\n6elJ+/btI1dXV/r666/JxsaGFBUVqUOHDmRhYUEzZ86kX3/9lR49esTzrYhEIoqOjqb9+/fTqFGj\nqFOnTjR06FA6cOAAb3ZaXFxMR44cob59+3KrvsLCQu54cnIyLVq0iKSlpembb77hHUtMTCRnZ2fS\n0NCgy5cv8579pUuXSEVFhZYtWyYR8vvll1+SsbGxRETbo0ePSFVVlbZs2SIxyN+6datB4SD634zf\nysqKFi9e3Kg4TJs2jRwcHJpcwSUmJpKioqLEqqYxCgsLSUND460r7rdRVVVFenp6dPXq1Xfq50PB\nhOEfZsOGDeTs7PzO/SxevJi+/vrrZrefNWsWTZ48uUnTVUhICMnJyTXq4IuIiCB5eXm6deuWxLGC\nggIyMTGhNWvWSLzHvXv3SF5eXmKl8urVKxo8eDCNGDGCN/jU1NTQsmXLSFNTk+7du8e9LhKJ6ODB\ngw1mW4eGhpKNjQ2ZmprSzZs3eauHs2fPUs+ePcnMzIw8PDx4g2lCQgK5urqSsrIyWVhY0K5duyRW\nSunp6fTHH3/QV199RcrKyqSsrExOTk60adMmunHjBqWkpDQZaVJZWUnZ2dkUFxdHz549o5CQEHr8\n+DEFBwdTaGgoRUVFUWpqKr1+/brJfl6/fk0PHz6kgwcP0rx588jMzIw6dOhAAwYMoB9//JEePHjA\nM3OUl5fT5cuXafLkydSlSxdydHSk69ev84Q5PDycMxWtXr2at0rIyMig+fPnk5ycHO3bt483wN69\ne5cMDAzIycmJd86rV6/oq6++IiMjI56TWfzZNfT9yczMJDMzM1qwYIGELyokJIQUFRXp0qVLEs+j\nuLiYLCws6LvvvmvwedXW1tKIESNo4cKFjT5T8b0oKSk1OwktMDCQlJWV3zkv4e7du6SpqfnOWdYf\nAiYM/yBZWVkkIyPzztENQUFBpKKi0mxT1Llz50hfX79BB7GYvLw8UlNTo2vXrjV4PCsri9TV1Rs0\nQ5WWllLv3r1p7dq1EqJw+/ZtkpeXp7t37/JeT01NJX19fVq9ejVvMMjNzSUbGxsaO3Ys7/7y8/PJ\nwcGBLC0teQNOWVkZLVu2jBQVFenIkSO8vnx9falXr17Ut29fXjkOsdnEwcGBWz286UuJj48nNzc3\nLnLpq6++oqNHj1JSUpLEPdbV1VF0dDSdP3+efv75Z5o+fToNGjSItLW1qUOHDtS6dWtSVFQkXV1d\nMjY2JgsLC+rTpw9ZWlqSmZkZGRoakrq6OnXq1IlatmxJysrK1Lt3bxo/fjytWbOGDh06RIGBgQ2G\na5aWlpKvry998803XMTRjBkz6ObNm7yBvLS0lI4ePUpWVlakqalJe/bs4X0fMjIyaOnSpSQjI0Mb\nNmzgHYuKiqKhQ4eSiYkJL5O+qqqKvv32W1JSUuKtIEUiER09epTk5OTo8uXLvOsNCgoiJSUlOnLk\nCO/1kpISGjx4MLm4uEiIQ3h4OCkoKJCvr6/E/RcUFJCenh4dOnRI4pi4X0NDQzp69GiDx8Vs2rSJ\nBg8e3OxQ0pUrV5KLi0uz2jbFhAkTaMuWLe/cz/uGCcM/yKJFi97ZPikQCMjY2Ji8vLya1T43N5cU\nFBToyZMnjbYRiUQ0cuRI+vbbbxs8XlNTQ3379m0wzK6uro5GjBhB8+bNkxgwAwMDSV5eXsJOnJiY\nSBoaGrR3717e67GxsaSlpUUbNmzg/UBDQ0NJXV2dXF1deYPdkydPSFtbm6ZOncpbcaSnp5OjoyPp\n6OjwzB1ERAEBAdSvXz/S09Ojw4cP82ZrFRUVdOzYMbK2tiZFRUVasmQJL3JJTHFxMV2/fp3WrFlD\nNk11SpQAACAASURBVDY21L59e9LR0aFx48aRq6sr/fHHH3Tnzh2KjY2lkpKSvxRgUFNTQxkZGRQc\nHExeXl60detWmjlzJvXp04c6duxI2tra5OLiQr///jvFxcVJ9J2WlkZ79+6lvn37koKCAq1Zs0bC\nLBgSEkLOzs4kLy9P27dv55l9UlNTuVIm9Qd1kUhEJ0+eJAUFBXJzc+M9k/v375Oamhpt3LiR97k9\nffqU1NTUaM+ePbz3j4uLIy0tLdq3bx/v9YqKCho6dCjNmjVL4r4ePHjQqD9NHPbdkD+C6H/hyXJy\ncg0mXYoRCARkY2ND+/fvb7RNfcrKykhDQ4MCAwOb1b4x4uLiSFZWlmcq/RRgwvAPkZOTQ9LS0u+c\n3XzkyBEaOHBgswebqVOn0jfffNNkm8OHD5OFhUWjttg1a9bQmDFjGpxNffPNNzRs2DCJSI3Y2FhS\nUFCQCMvLzMwkTU1NOnjwIO/1Fy9ekJKSksTM7vr16yQnJydhSjhw4ADJy8vzIptEIhGdOHGC5OTk\naOPGjTyTUXJyMo0dO5a6detGHh4evIHt1atXtGHDBpKTkyMHBwe6fv26xP1kZGTQ3r17adCgQVwB\nvp9//pn8/f15mcVNUVVVRYWFhZSZmUnp6emUnp5OeXl5VFpa2qyZqkAgoKioKDp8+DBNnTqVVFVV\nSVNTk5YtW0b379+X6CM+Pp6++eYbkpeXpzFjxtDjx495x2NiYmjChAmkpqZG586dkxBQfX19mjRp\nEm/llpmZSba2tmRnZ8eLbsrJySFra2uaPHkyz7+UlpZG+vr69NNPP/HeOzU1lbS0tOjw4cO818vK\nysjS0pI2btwocf9eXl6kqakpUWaDiOjGjRukrq7e6Cr60KFDZGFh0WREUUxMDMnKyja7rpKnpydZ\nWFi8c2Shi4vLJ7dqYMLwD/HDDz+81db5Nmpra0lTU7PZNV+ePHlCKioqbzUhycnJ8TKK6/PgwYNG\n7ak3b94kdXV1iWNlZWWkr69Pf/zxh8TrxsbGEg7wxMREUlZWlohyOnfuHCkqKvJWO0KhkJYtW0ZG\nRka8mXBlZSVNnTqVevToQREREbz2e/bsIVlZWdq8eTNPLCoqKsjNzY1kZGRo9uzZvKxpov/N3s+e\nPUu2trYkIyNDM2bMoBs3bjRqE66rq6PIyEg6deoUrVu3jpydnalPnz6krq5Obdu2pVatWpG0tDQp\nKyuTmpoaqaiokLy8PHXo0IFatGhBcnJy1KNHD7K3t6dFixbRr7/+Snfv3m0041ckEtGLFy/Izc2N\njI2NSU1Njb7//nuJap6VlZX022+/kYaGBo0cOZKioqJ4x4OCgqhXr140YsQIXk5JZWUlLV26lDQ1\nNXkmpLq6Olq9ejXp6ury/DGVlZXk6OhIDg4OvOecm5tLBgYGtHPnTt77JiQkSJihiP4nMurq6g2a\nNVeuXEmOjo4NDsaLFy+madOmNfqsbG1t6ZdffmnwuJhvvvmGZs+e3WQbMUKhkExMTBo1vzaXiIgI\nUlZWfm9hzu8DJgz/AHV1daSsrCzxg/yreHh40ODBg5vd3t7eXmJm/iYLFy6k5cuXN3isrq6Oevbs\n2aDZqri4mNTU1Mjf31/i2MyZM2nmzJm810QiEX311Vc0c+ZMiUQxPT09ieu8ceMGKSoqSpTAmDZt\nGg0YMIC39M7Pz+fKYdc3ixQU/B973x0URda9fTCsrpKZYWDIGQFFQUAEFBOoGFAREcWEGDBhDmsC\n05rXHFFWMSdUVsUIBkABI2YEzAJKzjDzfH/4m/lou2fEl13XrfKpokrPvX2n4zn35Bx06dIFzs7O\nrJIjf/31FwwMDNC/f3+Ws7m4uBgrVqyAUChEhw4dcPjwYc5SICKRCAkJCZg/f740Kc7c3By+vr5Y\nuHAh9u/fj/j4eGkWs7ydZVVVFbKysnDv3j1ER0dj3bp1GDNmDNq2bQtFRUWYm5tjxIgROHTokExB\ncf/+fUyYMAFqamrw8/NjvW8VFRVYt24d+Hw+Jk+ezLhXlZWVWLhwIQQCAYtRHz16lNNfsGnTJujo\n6DAijaqqqtC3b1/06dOHoZW9fv0aenp6rNyV69evQ1NTk5WzcOPGDWhqarKSHysqKtC8eXNERkay\nrl9i3qkZsFATqamp4PP5cn1zeXl54PF4rE2CLBw+fBht27at1Vx5cHNz43Sw/1v4KRi+A86ePQtH\nR8c6r+Po6MgZuseFO3fuQEdHR2Z9f+CzOq+urs6wz9fE9u3b4e7uzsnQpkyZwrmziomJgaGhIUtL\n2bNnD2xsbBi7bbFYLK1OWhP37t0Dj8djJMeJxWIEBwejffv2DIb2/v17WFpaYs6cOYzzfPz4MYyM\njDBjxgyG+aC0tBRBQUEwNDRkhSiKRCLs3LkT2tra8PHxYWgeNZGSkoLg4GBoaWnB2toa06dPR0xM\nzD9mJ66ursa9e/ewfv16dO/eHUpKSvD09MTevXtRVlbGml9QUIDly5dDU1MTQ4cOZZW4zsnJwcCB\nA2Fubs4qficJbFi9ejWDnpKSAi0tLRZDlpSLqJllXlFRAXd3d5YJMyUlBTwejxWyumrVKri4uLB8\nOXPnzkWfPn1Y13fz5k1oa2tzmvAk+SuyhPDw4cMxb948zjEJ5s2bh1GjRsmdI0F1dTX09PRY9/Fb\nsXv3bvTq1atOa/yd+CkYvgMCAwNZH9q34uHDhxAKhayPRxZGjhyJJUuWyJ0zefJkmf4HidnqS7s0\n8P8FypfZ1pWVlbC0tGRlLX/8+BGampqsAmu7d+9Gy5YtGcKruLgYFhYWrPyMTZs2wcbGhsEMCgoK\nYGtry7JH379/H1paWqz6TpISHgMGDGAxlRcvXsDNzQ1OTk5ISkpiXbMkTr9NmzbQ19dHWFhYrXeV\nEohEIuTn5+PNmzfIyMjAy5cvkZ2dLVd4c6GoqAgHDx6Eh4cH+Hw+fvvtN07hXlBQgBkzZoDP5+PP\nP/9kjR84cAA8Ho9Vn+jVq1ewtLTEggULGPSHDx9CIBCwcnCWLVsGe3t7hpCSxPt/+S5s2LABbdq0\nYbzHIpFIWhG3JsrLy2FiYoILFy6wzj0gIIB1fsDn59SqVSuZG6jnz5+Dx+PJrSn24cMHqKqq1lrQ\nL1y4kLW5+Vbk5+dDSUmp1mVt/mn8FAz/MMRiMbS1tWUmjNUWCxcuREhISK3mlpaWQkVFhaWG10RZ\nWRk0NDSQmZnJOX748GG0a9eOc2zixImYMWMGix4REYH27duzdmuTJ09GcHAwg5aXlweBQMDaaU2b\nNg0DBw5k0B48eAAej8cwB4nFYvTr1w9BQUGM33v58iV0dHRY/opXr17B1NQUYWFhrPOTlGRevXo1\np+CNj4+Hg4MD7OzscOzYsa8KZ5FIhNu3b2Pjxo0ICgpCu3btoKuri4YNG0JJSQna2trQ19eHrq4u\nNDQ00KBBA6ipqcHW1hY+Pj5YsGABoqOja+XUfvr0KUaPHg0NDQ0sX76cU8jcuXMHVlZWnKXV7927\nBx0dHZY/KCsrCxYWFqwoHUmCY02hKHkWU6ZMYcyNi4uDUChkMFiJEPjy9+7evQuBQMBijAcPHoST\nkxPrmaWlpYHH43FmNu/fv1+uydXLy4tTUNZEnz59WCG1svD06VNoa2vXuWpqp06dfpiEt5+C4R/G\n48ePoa+vX+d1HBwcWLkAsnD69Gm0b99e7pwTJ07I/Xg8PT2xb98+Fr2kpARqamqsJkBisRgtWrRA\nTEwMg56TkwNVVVVWpMe8efMwYsQIBi0tLQ0aGhqMyC2xWIy2bdti69atjLkRERFo2bIlg9FVVlbC\nyckJy5cvZ8zNz8+HlZUVy/kJAHv37oWWlhbi4+NZY5WVlZg1axa0tbWxd+9euR++SCTCpUuXMHLk\nSGn3tZEjR2Ljxo24dOkSMjIyZGoGYrEYOTk5SE5Oxv79+zF79mx07NhRGv20devWr+asPH36FF27\ndoW9vT1nv4yioiL06dMHnp6eLOf5s2fPIBQKWU7U9PR0CAQC1r1Zv349nJ2dGQLy48ePnIJ+2LBh\nrAS0W7duQUdHhyWkBgwYwNKsq6urYWpqyhlw0bt3b5aAAT6bsng8nswmO4cOHYKHhwfnmAQHDx5E\nt27d5M6pCXNzc5ZG/K1YtmyZTH/f98ZPwfAPIyIiAn5+fnVao7CwEE2aNJHbSKcmxo8fz2KOX0JS\nVoELErWWazd2+PBhzo8qOTkZxsbGLOa5atUqVqRIWVkZp4MvKCgI8+fPZ9BOnjwJW1tbxrqFhYUQ\nCASstqW///47PD09WbtLPz8/jB49mnXOkl4YXPHtxcXF8PT0hKenp9wQY7FYjMOHD0sb76xcuVJm\njalvRXFxMY4dOwZfX19peQp52bZisRibNm2SWRG3qqoKfn5+nD0BJFnvX2qQx48fh5mZGUOoiUQi\nODs7IyIigjF38+bN6Nq1K4P28uVLqKmpscwyXbp0YZkLExISYGpqynp+K1as4PRnydvcjBo1CqtW\nreIcKyoqgqKiotxovdzcXCgqKtbazDd27Ng6m4tjY2Ph5ORUpzX+LvxnBQMRdSWiJ0T0jIhmypjz\nN9+ub8fkyZO/Wp/oa4iLi0ObNm1qPb9Vq1acO+CaMDY2lpnwc+LECZk7qiFDhnAWHfvtt98wc+ZM\nFt3BwYHl5D127Bjrgy4uLoaKigrLb9GhQwdWtvWqVaswYMAABi0vLw/q6uosk52kTeSXNuWsrCyZ\nDFRSLG3IkCFy494lPYXt7OwYZTj+Cbx69Qpjx46tVU/umJgYmclg5eXlcHJy4twUSKrHfolu3bph\n48aNDNqVK1dgZmbGuOby8nIIBAJGQUIA8PX1Zb0zhw8fRufOnRk0sVgMMzMzlsDPyMgAj8djCbOS\nkhIoKipymtzkvcMA0K5dO5Z2+yVsbW1Z1YFl4e/YAObn56NJkyY/RCOf/6RgIKJ6RJRGRAZE1JCI\n7hKRJce8v/2GfSt69uzJCvP7VmzZsgUjR46s1dyqqio0btz4q/XolZSUZL6As2bN4kwwAgATExNO\ngeLq6spyEn769AlKSkqsXdeIESNYjOnYsWPo0qULg/bu3TuoqamxIm+sra1ZDH3t2rXw9/dnnVfb\ntm05w21HjRqFqVOnclwhsHTpUnTs2FGuUHjx4gV0dXWxYMGCOpdh/hYkJCRIS1rIw4EDB2Bqasqp\nZUoSub4Mey0rK4NQKGRFY129ehUWFhYMISAWi2FjY8PK/A0JCWG9O8ePH2c926KiIjRt2pT1nk6c\nOBHLli1jnbOpqSmj6KEEbm5unM7prKwsqKioyBTWU6dO/WpS2dChQ1kJeLKQnJyMFi1a1GquPGhq\nata6ZtM/CXmCoR7VAgoKCtoKCgrCGn+Da3NcHeFIRM8BvARQRUQHiaj3d/jdb8bbt29JV1e3Tmtk\nZmaSoaFhrX9PQ0ODmjZtKnPOs2fPyMzMjOrV437Ejx8/JhsbGxa9tLSU3r59S+bm5gw6ALp79y7Z\n2dkx6Hfv3qWWLVvSL7/8wqDfvHmTXF1dGbTr169Tx44dGbTY2Fhq3749NW7cWEp7/fo1ZWdnU9u2\nbRlzT5w4Qf7+/gxaeno6paWlUd++fRn0goICOnToEM2cOZN1jfn5+bRq1SrasWMHNWjQgDVORFRZ\nWUleXl40e/ZsWrhwocx5/wTatGlD165do7Vr19L58+dlzvPz8yNLS0vauXMna6xZs2bk6elJe/bs\nYdAbN25Mw4YNo8jISAbd1dWVysrK6MmTJ1KagoICeXt707lz5xhzu3btSpcvX2bQ3N3dKSEhgUQi\nkZSmqKhI1tbWdPv2bcZcJycnSklJYZ2znZ0d3b17l0W3tbWl1NRUFl1TU5MaNmxIHz58YI0REVla\nWtKzZ884xyQwNTWlFy9eyJ0jgaGhIb18+bJWc+VBT0+P3r17V+d1/knUSjAQkQMRbSSikUQURETd\n/rEz+v/QIaLXNf7/5v9oPxw+ffpEGhoadVrj48ePxOfzazU3KyuLtLS05M758OEDCYVCmeOyhNnb\nt29JKBSyGGFubi7Vr1+f1NXVGfQXL16QqakpgwaA0tLSyMLCgkF/+vQpWVtbM2iPHj0iW1tbBu3e\nvXtkb2/PEGpisZhSUlLIxcWFMffGjRvk7u7OOt9r166Rg4MD5z2Njo4mV1dXMjY2Zo1JsG/fPtLT\n06Pg4GCZc/5J6Onp0R9//EHz5s2TO2/cuHF04MABzrG+fftSTEwMi965c2e6fv06g6agoEAuLi6U\nlJTEoLdu3ZrFrG1tbenhw4cMmpqaGikrK9Pbt28ZdEtLS3r+/DmDZmpqSunp6azzMjY25mS8BgYG\n9Pr1axad6PN9+vI3JRAKhfT+/XvOMQm0tbUpOztb7hwJ1NXVqaSkhKqqqmo1XxY0NDTo06dPdVrj\nn0atBAOAU0Q0FkAYgFAimvzPntZ/C2VlZfTrr7/WaY3S0lK5GkBNlJSUkKKiotw5xcXFpKSkJHO8\nqKiIlJWVWfTCwkJSUVFh0QsKCkhNTY1Fz8/PZ9HLyspIQUGBmjRpwqB/+vSJeDweg5aTk0MCgYBB\n4xJ8RUVFpKCgQKqqqgz6mzdvyMjIiHVe6enpLMEkwePHj6l169acYxJcu3aNfHx85M75p9GrVy+6\nf/8+lZWVyZxjb29Pjx494hyztLTkZMBGRkb05s0bFl1XV5e1k9XW1qasrCwGTVNTk3Jzc0ksFjPo\nfD6fxfDU1dUpLy+PRcvPz2f9vqqqKhUUFLDoKioqVFhYyKITESkrK1NRURHnmKKiIhUXF3OO1ZxT\nUlIid44ECgoK9Ouvv1JpaWmt5svCr7/+KveZ/gj4qn6soKAQQ0TRRPRIQUHBjIhuAKidiK0b3hKR\nfo3/6/4fjYWFCxdK/+3u7k7u7u7/5HmxoKCg8F3XqM1cBQUFiQ/mm9aQRa9Xrx7nelymKlm/zbU2\n11yuNevVq8diRBJ6TfPF1+hERPXr16fq6mrOMQkaNmxY551hXSESiT7be2WYAyVz6tev/01jYrG4\n1nQAnDSuZ8l1rrWlfY0u672Ud3++du++tvb/umZt1vg7eMa3IjY2lmJjY2s196uCAYCn5N8KCgq/\nEJE/Ee37X0/uG5BERKYKCgoGRPSeiPyIaCDXxJqC4d9AkyZNar3rkIWmTZvK3Pl8CSUlJZk7qJpz\nuHZfEigrK7N2ckSfd225ubmcdC71V11dne7du8egNW7cmOrXr0+FhYUMrYTP57NUey0tLc5d6pem\nA0VFRWrYsCHl5OQwzEOGhoaUmJjIOi8LCws6dOgQi0702RSydetWzjEJunTpQitXrqTg4OB/5SMm\n+mzOcnV1pUaNGsmcEx8fTy1btuQcS01NZfmKiIieP39OBgYGLHpmZibZ29szaK9fvyZtbW0G7f37\n98Tn81kM8sOHDyzTXU5ODssv9fHjR07tMzc3l2WqJCLKy8vj1GKJPmusXJov0WftV57WLJnzNe1b\nArFY/LdZB77Upr8Hvtw0h4aGypz7VdGnoKCwV0FBYaeCgsIIIrIjIr2/4Ry/CgAiIhpPROeJ6CER\nHQTw+Hv89reCx+PRx48f67SGpqZmrW2dXMz0SwiFQpm2V6LPttlXr16x6Do6OpSVlUWVlZUMuoqK\nCjVs2JBlVjA1NWU5+BQUFMjCwoIeP2Y+LisrK3rw4AGD1rx5c5Zz0s7OjlJSUhg7dgUFBWrTpg3F\nxcUx5rq5uVFcXByVl5cz6C4uLvTo0SNOm3W3bt3owYMHnI5OCfr27UsNGjSg3377TeacfxIPHjyg\nWbNm0dKlS2XOAUBr1qyhIUOGcI4fPHiQvLy8WPSzZ8+ytGqRSETXrl2jNm3aMOiJiYksxn779m1q\n0aIFgyZ5Z74UIo8ePeL0NX3plyIiSktL4zQLZmRkcAoyAPTq1SuZgR8Sf5k8vH///qv+Ogk+fvxI\nKioqdQ5E+PjxY519kv80vioYAAQQ0QIiyiciDyL6bsYxAOcAWAAwA/D79/rdb4Wurq5M51htYWho\nyGkP5oK2tjYVFRXJ1QjMzc0pLS1NpsnE2tqaxaSJiBo1akTGxsasKBAFBQWys7NjOSdbtmxJqamp\nLLurs7Mzi4m3b9+eLl68yKC5u7tTfHw8Q1vS1NQkMzMzunTpEmOuj48PK8pGKBSSk5MT7d27l0Fv\n0qQJjRw5knNX1KRJE1q0aBENGzZMpqZXr149ioqKotOnT9OwYcO+aqv+O3Hs2DHq1KkTbdiwgRwd\nHWXO++OPP6iiooIVqUX0maEnJyfTwIFMJbugoID27dtHAQEBDHpMTAzp6ekxGLNYLKbjx49Tjx49\nGHP/+usv6ty5M4N28eJFcnNzY2hXeXl59OLFC1ZwQUJCAjk4ODBoACgpKYklhIiI7ty5wxJERJ8Z\nf8OGDWUGbTx69IgsLS05xyR49uwZp5DiQkZGBqfg+lbIE2Y/DGTFsUr+iKgfEfUnosb/9/8+Xzvm\ne/7RD5DHMHPmTISFhdVpjYSEBNjZ2dV6vpOTk8zSwxI0a9ZMZkXIs2fPyqyTNHr0aM6M0sWLF2Pi\nxIksert27VilFriqzZaXl0NdXR0ZGRkMeq9evVix5Nu3b4enpyeDVlJSAoFAwCpLkJiYCKFQyGru\nUlhYKG1o/yXEYjGGDh2KLl26yM2OLS4uxogRI6Cjo4NNmzZxVjr9u3Dz5k107doVpqamuHnzpty5\nu3fvhra2NuteAp+TqCwsLDhbtIaEhHCWS3d2dmZVVY2KimJVMS0sLIS6ujqrH0S3bt1YtYl2797N\nSqYTiUTQ1dVltVl99OgRdHV1WTkJ+fn5UFRU5OyPceDAAbnVSh0dHREbGytzHAAsLS1l9j//Etu3\nb5fZC6K2yMnJgbKy8j+aKFlbUF0S3OhzBNJgItpLRH8S0ZSvHfM9/34EwbB//37O0sHfgtLSUjRp\n0kRu0lpNTJ06VWaCmgTBwcEyM7JLSkqgpKTEWZ8nOjoaLi4uLPrjx4+hra3NSvbaunUr6/qrqqqg\no6PDEkxTp05l1YqJi4uDsbExI1GroqKCs2z2jh074ODgwGp4MnHiRHh7e7MS+pKSksDj8RAXF8e6\nnqqqKgQGBsLW1paVyfslbt68CS8vL2hqamLcuHG4dOnS39J0JS0tDWvWrIGjoyP09fWxadMmuWVR\nKioqMH36dBgYGHCec3FxMdzd3TF+/HjW2F9//QWhUMiq0irpfFbz3lVUVMDKyool8JcsWcLK/n34\n8CH4fD6r3LqTkxMrg/v8+fOwtbVlndv8+fM5Nx2RkZHw8vJi0QFg0KBB2LRpE+fYp0+foKioKFeQ\nf/jwASoqKrWuZjx8+HBWdvi34vz583Bzc6vTGn8X6ioYTInI+Wvz/q2/H0EwSAqR1XUX0K5dO1a5\nY1m4ePEiHBwc5M6JiYmR2yOiX79+nA3WKysroampiSdPnrDGXFxcWI1YioqKoKGhwSpVsXr1apbA\neP/+PdTV1Vm1hnr06IHFixczaNHR0TAyMmLU4BGLxejevTtLuJSXl8PNzQ0TJkxgPYeLFy+Cx+Ph\n6NGjrOsRi8XYsmULeDweFi9eLLdUM/CZkS9ZsgStW7eGsrIyOnfujOnTpyM8PBxXrlzB06dP8enT\nJ1RUVEAsFqO6uhpFRUV49eoVkpKScPToUSxduhQDBw6EsbExBAIBAgMDcfbs2a9mV1++fBktWrRA\nr169kJ2dzRp/9+4d2rRpg+HDh7OYXUJCAvh8PquMyu3bt8Hj8Vg7+N9++w09evRg3MvMzExoaGiw\nGiL16tWLVbfr/PnzMDc3Z52Hp6cnqyheeXk5hEIhZ4fBjh07cmo+xcXFUFVVZfWhkGDXrl3w9vbm\nHKs5p1+/fnLnSCAWi6Gvry+3p3RtsGDBAs6qxf8G6iQYfvS/H0EwiMViGBkZyWydWVusWLGi1s1D\nKisrwefzWR9pTUi6ysl6mc+ePYuWLVtyCrS5c+dyFqWLiopCq1atWDvzsLAw1k6ytLQUBgYGrA5w\ny5YtQ5cuXRhrZGZmgsfjsfokBAcHo2fPnqz+zZaWllixYgVjbl5eHhwdHREYGMgq0ZGcnCztncyl\nlb148QI+Pj7Q0dHBmjVralWnPycnB9HR0ViyZAkCAgLg6uoKY2NjqKiooEGDBiAiKCgo4Ndff4VQ\nKESrVq3Qu3dvTJ06FREREUhNTf3qZkIsFuPChQvw9PSEkZERDh06xHlMdHQ0hEIhwsLCWM8mJiYG\nfD6ftemQVFz9UmBGRUVBR0eHwXSrqqrQrl07VimLY8eOwdzcnKXt2djYsLqVxcXFwdDQkKURbd26\nlWU2BD6XEhcKhZxF7rZu3SrXjNSuXbuvdkvr0qULq0+FLNy5cwdGRkZ13vy1bdsW586dq9Mafxd+\nCobvgAkTJrB2vN+KjIwMaGho1LrC6uTJkzFr1iy5c+bPny9T2IhEIlhbW3O+qNnZ2Zw7e5FIBCcn\nJ5Y9ubi4GPr6+izTz+nTp2FsbMwogiYpnf0lYz927Bj09fUZPSYqKirQuXNnBAYGMhiepPfCwoUL\nWTbwnj17ws3NjWUH//TpEwYPHgxDQ0McO3aM8yNPSkqCn58fVFVVMWLECJw/f/5/NhnVhYmkpaXh\n999/h6WlJaytrbF9+3ZOBpmRkQFfX18YGxuzSrZXV1dj2bJl0NLSYtU7kjDdL/sRxMbGgsfjMXwc\nYrEY48ePR9euXRkCOjMzE5qamiwtZN68eejevTur+J61tTUOHz7MmFtQUABtbW3Oxkk9evTA2rVr\nWfSqqiqYmppymgeBz1qQjo6O3OeWnp4ODQ0Nmb29v8S0adNYpcW/FZLaTv+kn+pb8FMwfAdcvXoV\n1tbWdd5RdOrUibNHAheePXsGHo8n13malZXF6SyU4PDhw2jVqhWnnXXRokWc6vitW7cgEAhY5owz\nZ85AX1+f5bcYNWoUfHx8WGYJbW1tVvevpUuXwtramrF2YWEh3NzcEBAQwGCO79+/h4ODAwYMqc1L\nSgAAIABJREFUGMBo/iISibBkyRLw+XyEh4ezdtASO7eDgwNOnTrFWWjw/fv3WLlyJRwdHaGmpob+\n/ftj27ZtePDgQa1t0t+CrKwsnDx5ElOmTIGVlRUEAgFGjx6Na9eucb5TL168QHBwMNTV1bFgwQKW\nCezx48dwdXVFu3bt8PLlS8bYwYMHwePxWCbBv/76C3w+n6XhLVy4EM2bN2cU5MvPz0fz5s1ZjDsm\nJgba2tqs3hzTp09H7969WdcyZswYzuKR586dg7GxMScT3bJlCzp06CDzW+vTp89Xy2NPmjQJ06ZN\nkztHgvLycvD5fM4eGN+CDRs2cBaB/LfwUzB8B4hEIhgbG9e6hK8sREVFwd7evtYCZsCAAZyVKmti\nzpw5CAgI4BwTi8VwcXHhLLNdVlYGS0tLzsqlM2bMgJeXF4uphoSEoHv37gzmWVZWBicnJ/z222+M\nuYmJieDxeAxGJBaLMXfuXFhaWjKEWUlJCXr37o127doxynaXlpZi5MiRMDExwfXr1xnr37lzB46O\njnB0dGRVahWJRDh06BDs7e1hYmKClStXyrRXv337Frt27UJAQADMzMzQtGlTODo6Yvjw4Vi6dCn2\n79+P2NhYPHz4EO/evUNBQQEqKipQXV2NyspKlJSUICcnB2lpabh58yZOnjyJjRs3IiQkBF27doWO\njg5UVVXRpUsXhIWFITExkVNYVVZW4vTp0+jZsyc0NDQwc+ZMlnDOycnB5MmTwePx8McffzDWyc/P\nx7Bhw2BqasoIChCLxVizZg2rmZFIJMKMGTNgZWXFuDdFRUVwcXHB+PHjGe9pamoq+Hw+KxLoxIkT\n0NPTY53rqVOnoK+vz6oAW1hYCAMDA5w9e5Z1D3JycqCpqSkz2u7GjRvQ1dWV6yt69+4d1NXV5XY/\nrImdO3eyelB8KyTtSH8UMxLwUzB8N6xYsQKDBg2q0xoikQhWVlY4c+ZMreY/efIEPB6P0xkpQWFh\nIXR0dFjmBAlSU1PB4/E4Qx9v3rwJTU1N1lhFRQWcnZ0RGhrKoFdWVqJDhw4sppGVlQVzc3OW+ejK\nlSvg8Xis/r2rV6+GUChkMaq5c+dCKBSyPrDjx49DW1sbo0aNYjS6EYlE2LNnDwwNDdGpUydcvHiR\nVVo6ISEBw4YNg6qqKjp06IANGzZw3gsJ8vPzce3aNWzfvh3Tpk2Dr68vXF1dYWFhAYFAAEVFRTRo\n0AAKCgqoV68eGjduDHV1dRgaGsLe3h7du3fH6NGjsWLFCpw8eRLp6ekyNwLFxcU4ffo0AgMDwePx\n0LZtW+zcuZPlJ3n79i2mT58OdXV1jBkzhtF4SCQSITIyEkKhEGPGjGFomNnZ2ejVqxfs7e0Z11xU\nVAQfHx84Ozszopg+fvwIJycnBAUFMYTO06dPoaOjw9J2Jc2Bbt26xaA/ffoUfD6f1bVNLBbD398f\nQUFBrHshFovh6+srs5R6VVUVWrZs+VWNOzAwsNbaQmVlJYyNjb8a9vo1XL9+HSYmJj9EHwYJfgqG\n7wRJIxl5TKU2OHbsGFq0aFFrk0VISAiGDRsmd86JEydgZmYmMxx25cqVcHZ25rRjr1mzBq1atWId\n++7dO+jp6WHv3r0Men5+Plq2bInZs2czGN6bN29gZmaG+fPnM+g3b96ElpYW1qxZw6CfPn0afD4f\nq1atYnxQly9fhr6+PoYNG8YQAnl5eZg4cSI0NDQQFhbGMC9VVlZi165daNasGaytrbF+/XpW3kNp\naSlOnDiBIUOGQFNTEyYmJhgxYgTCw8ORmpr6XXoyfPjwAdHR0fjtt9/g5uaGpk2bon379li9ejWr\n85pIJMKFCxfQv39/qKqqYvz48QyzkVgsRkxMDFq3bg17e3uGkBWLxdizZw8EAgFmzJjBeO53796F\npaUlRowYwTDlPHr0CKamppg5cybjOUn8Fbt27WKc3507dyAQCFjmwg8fPsDExISzD8LatWvRokUL\nzh3/zp07YWVlJdMvEBYWBg8PD7nadkJCArS1tWsVXAAAmzZtYjUb+l/Qs2fPOoe6/t34KRi+I2bP\nnl3rhjuyIBaL4ebmxmne4YIkketraurQoUNZyU0SiEQi9OzZE2PHjuU8n6FDh6Jnz54s5vjw4UMI\nBAJWBEhOTg5atGiBkJAQBlP/8OED7OzsMHToUAbTycjIQMuWLTFgwADGR5uRkYG2bduiffv2jDah\nhYWFmDRpEvh8PtasWcNw2D9//hz+/v7Q0NDAnDlzGPZusViMy5cvw8/PD8rKyujRowciIiJYQkIs\nFuPBgwfYuHEj/P39YWpqil9//RUtW7aEn58f5s6di507d+LcuXO4d+8e3r1799WggerqauTm5uLZ\ns2e4du0aDh48iBUrVmD06NHo0KEDBAIBVFVV0alTJ8ydOxcxMTEs/1F1dTWuXr2KSZMmQUdHB61a\ntcLGjRsZ96yqqgqHDh2Cg4OD1BRY8xkkJCTAxcUFdnZ2jJ18RUUFwsLCwOPxWC05IyMjwePxsHv3\nbgb99OnTnP6KGzduQFNTkxXxJHkvuHJwTpw4ITNpT6J5fBlW++XvfdmnvCbKyspgZWVV60gkidnq\ny6ZG34qkpCQIhcJaO7q/F34Khu+I3Nxc8Hg8pKam1mmdBw8egM/n17rT08WLF6GjoyO3d3FRURGa\nNWuGrVu3co4XFBTAysqK03FXUVGBbt26wd/fn6XJ3L59GwKBgJU5m5ubC1dXV/Tv35+xAywuLoaP\njw9at27NaOZeWlqKsWPHshLbqqursXbtWmhoaGDevHkMzSU1NRVeXl7Q19fHli1bGMLm+fPnGDdu\nHFRVVeHj44MzZ84wBFtBQQH27t0Lb29vKCkpwdnZGfPmzcPly5c5d6xFRUW4desW9uzZg/nz52Po\n0KHo1KkTrK2toampiYYNG6Jhw4ZQVlYGj8eDQCAAn8+Hmpoafv31V9SrVw8qKiowNjaGs7Mz+vXr\nh8mTJ2PDhg2IiYnB69evWbtdsViMx48fY+vWrfD19YW6ujpsbW2xcOFCFpNMS0vDvHnzoKOjA1dX\nVxw/fpwhEG7evImePXtCV1cXu3btYjzHmJgYNGvWDF5eXgzfTk5ODgYOHAgLCwtGhnBVVRXmz58P\nHR0dJCQkMM7j8OHD4PF4LB/B27dvYWNjw9Ikgc/OZj6fz2r5CXx2tAuFQlayXc11dXV1WZrJl5gw\nYQL69+9fa/9dQEAAQkJCajVXFsRiMTp06IAtW7bUaZ1/Aj8Fw3fGunXr0LFjxzpHKIWGhsLT07PW\ndsnZs2ejU6dOck0ez549g6amJs6fP885/vLlS+jp6SE8PJw1Vlpais6dO8PPz49lckpNTYWenh5+\n//13xnWXlZUhICAAtra2jJwLicOTz+fjzz//ZBxz5swZ6OnpYdiwYQxB9+rVKwwcOBBCoRCbN29m\nnEN8fDy6d+8ObW1thIWFMRzU+fn52Lx5MxwcHKClpYXx48fj8uXLjHDGsrIyXLhwAbNmzUKbNm3Q\npEkT2NnZYeTIkdiwYQOuXLmCDx8+yH2mYrEY5eXlyMvLQ1ZWFt69e4f379/j48ePKC4u/upzLC0t\nxd27d7Fv3z7MmjULnp6eUt/EkCFDsHv3btaOOD09HWvWrIGzszP4fD4mTpzIyKepqqrCiRMn4O7u\nDj09Paxfv54hPJOSktC1a1eYmJggKipKen0ikQi7d++GlpYWQkJCGIIyLS0Nrq6u6NSpEyvXYdas\nWdDX12c5h+/fvw8DAwMsW7aMdQ9PnToFPp/PCh4APpsfTUxMZGY4FxUVwd7eHosWLZJ7bw8ePAgj\nIyOWo1sWjh8/DhMTk1pXIpCFI0eOwMbG5ru2hq0tfgqG7wyJE+zLWP9vRWVlJZydnVkOW3m/6+Hh\ngQkTJsidd/XqVfD5fJn1eCSOxC8zVIHPzKtXr17o0qULy077+vVrtGrVCoMGDWJ8UGKxGBs2bACP\nx8PevXtZ9unmzZvDy8uLYUIoKCjAlClTwOPxsGLFCoYafuvWLXh6ekJfXx/r169nmFvu37+PoKAg\nqZYQHR3NEABPnz7F4sWLYW9vDzU1Nfj6+mL79u1IS0tjnFdpaSni4+OxceNGBAUFwcXFBRoaGlBS\nUoKtrS169OiB0aNHY/78+Vi/fj327t2LkydP4uLFi7h+/Tpu3bqF5ORkJCUlISEhAbGxsThz5gwO\nHTqE7du3Y9myZQgJCYGfnx9cXFygo6ODxo0bw8rKCv369UNoaChOnjzJCvssKCjAmTNnMHXqVFhb\nW4PP5yMwMBBnzpxhXOezZ88wd+5c6OrqwtnZGfv27ZOOi8ViXL16FV5eXtDR0cHGjRsZQvbq1atw\ncnKCg4MDw9RUVVWF1atXg8fjYfXq1QxBl56eDhcXF3h4eLACIY4dOwYej8fpFN65cycEAgHnu/jy\n5UuYmprKfP/Lysrg4eGBwMBAuQJbUhaltjWRJPkZX2pC34q8vDy5QR//Nn4Khn8BKSkp4PP5cm2e\ntUFmZiYEAgEreUkW8vLyYG1tzVkEryZOnz4NTU1NVrSIBM+ePYOBgQFLAwA+M4jg4GBYWVkx7P7A\n57DSgIAAWFtbsxq73759G1ZWVujbty+D4VVUVGDRokVSp3HN3enjx4/h7e3NWcQuMTERffv2hYaG\nBqZNm8YoyZGfn48tW7ZId9KjRo3CuXPnGH6At2/fIjw8HP7+/hAKhdDW1ka/fv2wfPlyXLhwgTPS\nKzc3FykpKThx4gQ2bdqE+fPnIzg4GAMHDoSXlxfc3d3h7OwMe3t7tGrVCnZ2dnB0dISbmxs8PDzQ\nr18/BAYGYsaMGVi5ciUiIyMRGxuLzMxMlomuvLwct2/fxq5duxAcHAw7OzupMzo0NBSJiYmMY548\neYLly5fD3t4eAoEAISEhDPt4SUkJdu/ejdatW8PMzIxlektMTES3bt1gYGCAPXv2MBj/pUuX0Lx5\nc3Tu3JkRzy8SibB582bweDysXLmScUxZWRkmTpwIQ0NDVgJbVVUVpkyZAlNTU878gNTUVOjr63Mm\nuEnW7tGjB3x8fOTuxtPS0iAUClk1m2ShtLQU9vb2X/1+aoOAgABOn92Pgp+C4V/CokWL0KFDhzon\nRF26dAmampq1TrB59eoVDAwMOKM+auLkyZPg8/kyM0hfv36NFi1aYNSoUZzRSlu2bAGfz2dVLxWL\nxdi9ezd4PB5WrVrFymmYM2cOeDweNmzYwPioMzIy0L9/f+jq6mL79u2MHfCtW7fQo0cPaGtrY+nS\npYwQyhcvXmDatGng8/lwd3fH7t27GZnW6enpWL58OZydnaGsrAxvb29s2bIFT548kQo9sViMFy9e\nIDIyEpMmTYKbmxtUVFSgqamJ9u3bIygoCMuWLcOBAwdw/fp1pKen19nMUFVVhffv3+POnTs4ffo0\nNm3ahGnTpqF3796wsLBAo0aNYGVlBX9/f6xZswY3btxgCLb8/HycOnUKEydOhJmZmTQc9cKFC9L7\nKhKJcP36dYwZMwbq6uro3r07Tp8+LWXgIpEI0dHR6NChAwwMDLB582bGb9y5cwfdu3eHkZERjhw5\nwtgk3L59G23atIGzszOr7EpKSgpsbGzg4+PDcuy/ffsW7du3h4eHB2sM+Ozv0NTUZEW7SVBUVIQu\nXbqgf//+crObX716BSMjo1rb90UiEXx9fTFw4MA6m4EPHDgAMzMzucmn/zZ+CoZ/CdXV1XB3d8e8\nefPqvNaOHTtgbGzMMi3IwvPnz6Grq8tZJK8mLl68CD6fz5nEBnyO/unVqxdcXV05E4Ju3rwJIyMj\njBo1ivURvHjxAu7u7nB0dMTdu3cZY6mpqejQoQOsra1x5swZxoeYmJiITp06wcjICNu2bWPsau/f\nvy/NORg2bBgSEhKkx1ZUVODIkSPo3bs3lJWV0bt3b+zZs4chRLKzs7F3714MGTIEurq60NLSQr9+\n/bBy5UrExcUxBIpYLMbr169x4cIFbN68GdOmTYOPjw/atGkDfX19NG7cGI0bN4ZQKESzZs3g6OgI\nd3d3eHh4wMvLCz179kSPHj3QrVs3dOrUCW3btoWtrS2MjIygqqqK+vXrg8/no3nz5ujatStGjRqF\nZcuW4ciRI7h//z6DQVdXV+Phw4fYs2cPgoOD0bJlSzRt2hSdOnXC0qVLcfv2bel9qKqqwtWrVzFl\nyhTo6+ujWbNmWLJkCcOpnJWVhZUrV8LExAR2dnbYu3cvSxB7e3tDS0sL69atY2laI0aMgEAgwPbt\n2xlaQnFxMWbMmCFl7F8y2KioKAgEAoSGhrI2TGKxGMuXL+cs4SHBu3fvYG9vj8DAQLkbrszMTBgb\nG381A7rmb0+ZMgUuLi51Llnx+PFj8Hg8Vnn4Hw0/BcO/iA8fPkBXV5ezJ8C3YvHixbCxsWHE7svD\n8+fPYWhoiOXLl8vdAd25cwd6enoIDQ3ldJCKRCKEhYVBS0uLMxs1Pz8fQ4cOhbGxMaucgkgkwo4d\nO6TlqmsyabFYjKioKFhaWqJdu3asJKJr166he/fu0NLSQmhoKMOhnJ2djd9//x1mZmZo1qwZli5d\nyvBR5OXl4c8//4S3tzeUlZXRtm1bhIaG4saNGwxbe3p6OiIjIzFu3Dg4OTmhSZMmMDIyQq9evTBz\n5kyEh4fj6tWreP36NScjKy4uxqtXr/DgwQMkJCTg0qVLOHv2LE6dOoWoqChERUUhOjoa58+fx9Wr\nV5GSkoK0tDR8/PiRk7Hl5eXh7t27OHbsGJYtW4ahQ4fC3t4eTZo0gYmJCXx9fbFq1SrEx8cztLjM\nzEyEh4fDz88P6urqaNmyJRYsWID79+9Ln31paSmOHj2K3r17Q1VVFUOGDEF8fDxDoJw4cQLt27eH\nvr4+1q1bxzDrZWVlYdq0aVBXV8eMGTMYjlyxWIyDBw9CX18f/v7+jGcFfE6MGzx4MGeGuuR5enl5\nwcnJiVXCQ4Lk5GTo6elh0aJFct/nhw8fQk9PD+vWrZM550uEhobCxsaGU4P5FuTl5cHCwoLTP/ej\n4adg+JchcX5xFQr7FojFYsyePRstWrSQG5ZaE2/evIGNjQ3GjRsn1xb7/v17tG3bFj179pT5cVy5\ncgV6enoYP348pxnl9OnT0NPTw5AhQzgZQ3BwMHg8HpYvX85gOFVVVYiIiICJiQlcXV0RHR3NEFCp\nqakYOXIkVFVV4evriwsXLkjHxWIxrl27htGjR4PH48HBwQHLli3Do0ePpMyjrKwMMTExmDp1Kmxt\nbaGkpISOHTti3rx5iI6OZtzL6upqPHnyBEePHsWiRYsQEBAAZ2dnaGlpoWHDhtDT04OTkxN69eqF\nESNGYNq0aVi8eDHWr1+P8PBw7Nu3D0eOHEFUVBROnjyJkydP4vjx4zh48CAiIiKwZcsWrFixAr/9\n9huCg4Ph6+sLd3d3WFpaQklJCYqKirC2tkbPnj0xZcoU7NixAzdu3GBoMuXl5bh16xY2btyIQYMG\nwcDAAJqamhgwYAB27tzJ8Gvl5+fj4MGDGDBgAFRUVNCxY0eEh4cz1nv58iUWLlwIPT09tGnTBvv3\n72doDxkZGZg4cSLU1NQwbtw4Vgh1XFwc2rRpg1atWrHMkiKRCLt27YJAIMCkSZNkvjfa2tqsRDsJ\nxGIxdu7cCR6P99WKqVeuXJFrhuJaOzQ0FJaWlqx39ltRWVmJzp07c/bC+BEhTzAofB7/70JBQQH/\nhWuIioqi4OBgiouLIzMzs/95HQC0YMECOnLkCJ0/f5709L7egrugoIB8fX2JiOjAgQOcDdeJiCor\nK2nmzJl0/PhxioyMJDc3N9acvLw8mjhxIsXHx9O2bdtYLR6LioooNDSUIiIiaNasWTRhwgRGM/sn\nT57Q3LlzKT4+nmbMmEGjRo2SNkavrq6mI0eO0IoVK6isrIwmTJhAAQEB0mbv+fn5FBkZSeHh4fTp\n0yfy9/engQMHUosWLUhBQYGqqqooNjaWoqKi6NSpU9SwYUPq2rUrdenShdq3by+97ry8PIqPj6cb\nN27QrVu3KCUlhZo2bUq2trZkY2ND1tbWZGFhQWZmZox7VVlZSW/fvqX3799TVlYWffz4kXJzcyk/\nP5+KioqopKSEysrKqKqqiqqqqiQbF6pfvz798ssv1KhRI2rSpAkpKiqSiooKqampEY/HIz6fT9ra\n2qSjo0MqKirS9pgVFRWUmZlJT58+pcePH9PDhw/p/v370naUDg4O5OzsTK6urmRhYUEKCgpUXV1N\nt2/fposXL9L58+cpJSWF3NzcyNvbm3r37k0CgUB6D44fP0779++nu3fvkp+fHwUFBVHLli2l79nV\nq1dpw4YNdOXKFQoMDKSQkBBGD+Vr165RWFgYvXjxgsLCwsjf35/q1fv/3YLj4+Np8uTJRES0efNm\nsre3Z7wrOTk5NHnyZEpISKDdu3dTu3btWO9bfn4+BQcH0/379+nIkSPUrFkzzncXAG3bto0WLFhA\nBw4coI4dO3LO+/KYmTNn0pkzZ+jixYu17v3MBbFYTEOHDqWCggI6fvx4nftCfw8oKCgQAAXOQVkS\n47/yR/8BjUGC7du3w9DQUKaq/C1YvXo19PT0ap2VKYkCMTY2/qrt8/Tp09DS0sKMGTNk2lujo6Nh\nYGCAgQMHcvoeHj9+jJ49e8LQ0BARERGcSXHe3t7Q1NREWFgYwzwmFosRGxuLfv36QVVVFYGBgQyT\nBwDcu3cPM2fOhIGBAczNzTFz5kzEx8dLf0csFuP+/ftYuXIlPD09pWGm48aNQ2RkJJ4/f85yPJ84\ncQKLFi2Cv78/7OzsoKysDBUVFdja2qJnz54YM2YMwsLCsG3bNhw7dgyxsbG4e/cuMjIykJOTg5KS\nEpm5CjVzHN68eYPHjx8jISEBf/31F/bs2YOVK1di6tSp8PPzg6urK/T09PDLL7/AxMQE3bp1w5Qp\nU7Bz507cunWLEbqbl5eHCxcuYNGiRfD09ISysjJsbGwwadIkREdHMzSzN2/eSHsfKCsro1+/fjh6\n9CjjGX/48AGrVq2CpaUlLC0tsWHDBlbl2lOnTsHNzQ1GRkasIAHgs4bXp08f6Orq4s8//2Tdk+rq\namzduhV8Ph9TpkyR6cS/cOEC9PX1MXbsWLlF8UpKSjB8+HDOKDlZKC8vR0BAANq0acPqaPetEIvF\nGDduHFxcXL7a6OlHAv00Jf04WLt2LYyNjf8W4XDgwAHweLyvZnzWhCQr9Y8//pBrp83KykK/fv1g\naWkp0xFYXFyMOXPmQENDA4sWLeL8KK5evQpXV1eYm5tjz549LCby8OFDjBgxQioAvkyMevfuHZYu\nXQpzc3OYmZlh4cKFjJaWYrEYSUlJmDNnDmxsbMDj8eDv74+IiAiGSaWyshIJCQlYuXIl+vXrBz09\nPWnRvJCQEISHhyMxMZFlN//48SOSk5Nx/PhxbNiwAXPmzEFgYKDUIW9jYwN9fX2oq6ujcePG0sJ5\nv/zyCxo1aoRGjRpJm/ZIsqK1tbVhbm4OBwcHeHh4wN/fH5MnT8bvv/+OvXv34sqVK0hPT2eY/ior\nK/HkyROp8PLx8YGpqSmaNm0KNzc3TJs2DSdOnGCE2JaWluLixYuYOXMmbG1toa6uDn9/fxw6dIgR\nKFBYWChtoamiooIhQ4YgLi6O8X7k5uZi7dq1MDMzQ+vWrbF//36WafLBgwfw8/ODpqYmVq5cyVkC\n4tKlS2jZsiVcXV1ZAQk1f2vkyJHQ09Pj9GnVxP3792FtbY1BgwbVOgIoJycH7dq1g7e3d50ZuVgs\nxsSJE+Hg4FDr+ks/Cn4Khh8Ma9euhYGBQa13N/IQHx8PoVCIxYsX1zpDOi0tDU5OTvDw8PhqnsWx\nY8ego6OD4cOHy/RrvHjxAv3794dQKMSWLVtYdmKxWIyLFy/C3d0dBgYGWLduHWMXCnwWRIsXL4ae\nnh5at26NLVu2sJh0YmIiJk6cCG1tbVhbW2PevHlITk5mMLCXL19i27Zt6N+/P3g8HkxMTDBs2DDs\n2LEDqampDM0lKysL586dw/LlyxEQEAB7e3soKiqCz+fD2dkZgwYNwpw5c7BlyxacOnUKSUlJePXq\nldyoFbFYjKqqKpSVlaG0tBSlpaWoqKiQ+2yqq6uRk5ODhw8f4uLFi9izZw+WLl2KMWPGwNPTE6am\npmjUqBGMjY3h5eWFmTNnIjIyEg8fPmRcT3Z2Nk6fPo3Zs2fD1dUVTZs2lZb5uHbtGoORZ2VlYdeu\nXejZsyeUlJTQvXt37N27l8FcRSIRrly5goCAAKioqMDPzw/Xr19nVaeNjY1Fjx49IBAI8Pvvv7Oe\nLfDZcdy1a1cYGxvL7EInEokQEREBLS0tBAcHM/wgXPdMkmy3e/fuWoeXpqSkwNDQELNmzapzpdPq\n6moEBQXBycmp1hnVPxLkCYafPoZ/CTt37qT58+fT6dOnWbbXb8W7d+/Ix8eH1NXVKSIigng83leP\nqaqqot9//53Wr19PS5cupcDAQIZ9uCYKCwspNDSU9uzZQzNnzmT5DSRISkqiuXPn0tOnT2nOnDk0\ndOhQ1rzExERavXo1Xb58mYYMGUJjx44lc3Nz6bhIJKLz58/Trl276Pz58+Th4UEDBw6kbt260a+/\n/kpEn+25CQkJUl9CUVEReXp6koeHB3Xq1Ik0NTWl8x49ekTXrl2j+Ph4SkhIoOzsbGrVqhW1atWK\nbG1tqXnz5tSsWTNq2rQpEX3eKL1//55evHhBGRkZ9PLlS3r9+jXLt9CgQQNSU1MjZWVlUlJSoqZN\nm1KTJk2oUaNG1KBBA6pfv770fopEIqqurqbKykoqKyuj0tJSKi4upsLCQsrPz6fCwkJSUVEhPp9P\nWlpaJBQKSU9Pj/T19cnQ0JCMjY3J2NhYei/FYjFlZmZSamoq3b9/n+7cuUMpKSmUn5/P8Du0bduW\nFBUVieizf+TmzZt04cIFiomJoadPn1KXLl2od+/e1KNHD1JVVZVe/4MHD+jgwYO0f/9XDJiFAAAg\nAElEQVR+UlJSouHDh1NAQADx+XzpcyopKaGDBw/Sxo0bqaysjEJCQmjo0KHSZyRBcnIyLVq0iJKT\nk2nOnDkUFBREv/zyC+vdqemP2LhxIzk4OHC+i0REjx8/ppEjR1L9+vVp9+7dZGJiInOuBABo+/bt\nNHfuXNq8eTP179//q8fIQ3l5OQUEBFBubi5FRUWRkpJSndb7NyDPx/BTMPyLOHHiBI0ePZp27dpF\nPXr0qNNaVVVVNGfOHDp48CD9+eeftXK+ERE9ePCARo4cSb/88gtt3bqVrK2tZc59+vQpTZ8+nR48\neEChoaE0aNAgql+/PmtefHw8LVq0iO7fv0+TJk2iUaNGSRmPBC9fvqStW7fSrl27yMrKikaOHEl9\n+vSROqKJPjtIjx49SgcOHKDbt29T165dydvbm7p160YqKirSeWlpaXTu3Dm6cOECxcXFka6uLrVr\n147c3NzI2dmZDAwMpA7d3Nxcun37Nt25c4fu3btHDx48oGfPnpFAICBzc3MyMzMjY2NjMjIyIn19\nfdLT0yM+n88QmgCopKSE8vLyqKCgQOp4Li8vp/Lycqqurqbq6mqJRkv169enBg0aUKNGjahRo0bU\ntGlTUlRUJGVlZVJVVSVVVVXWfSwpKaE3b97Qq1evKDMzk9LT0yktLY2eP39Oz58/J3V1dbKxsaEW\nLVpQy5Ytyc7OjszMzKTnWVxcTElJSXTjxg26evUqJSYmkpmZGXXu3Jk8PT3J1dVVyqDFYjElJSVR\nVFQUHT9+nCoqKsjX15f8/f3J1tZWeu8A0O3btyk8PJwOHTpEbdu2pXHjxpGHhwfr/ly4cIFWrlxJ\nT548oenTp1NQUBBLaBARPXr0iObOnUvJycm0ePFiGjx4sMwNSllZGS1dupS2bt1KCxcupLFjx8qc\nWxO5ubk0evRoev78OR06dIgsLCy+eow8fPz4kfr06UNCoZD27NnDuUn6L+CnYPiBcfPmTerTpw9N\nmTKFpk6dKv0I/1fExMTQiBEjqH///rR06VIGo5UFkUhE27Zto4ULF5K/vz8tWLCA1NTUZM6/du0a\nzZ49mz59+kTz588nX19fTgFx9+5dWrVqFZ05c4b8/f1p3LhxrKiSyspKOnnyJIWHh9OtW7fI29ub\n/P39qUOHDow1s7OzKSoqik6ePElXr14lBwcH6tq1K3l6elLz5s2lDKK6upru3r1LcXFxdP36dUpI\nSCAFBQVycHAge3t7qaagr68vvdfV1dWUmZlJz549o7S0NHrx4gVlZmbSq1ev6PXr11RUVESamprS\nPw0NDVJTUyMVFRVSVlYmRUVFatKkCTVu3JgaNWpEDRs2pPr160vXF4vFVFVVRZWVlVRRUUGlpaVU\nUlJCRUVFVFhYSHl5eZSbm0s5OTmUnZ1NWVlZVFVVRTo6OqSvr08GBgZkZGREpqamZG5uTubm5owd\nalFRET148IDu3LlDt2/fpuTkZEpLSyNbW1tycXEhNzc3cnNzYzzTnJwcunjxIsXExNC5c+dIXV2d\nvL29qU+fPtS6dWvGe5iZmUkHDhygffv2UWlpKQ0bNoyGDx/OiogrLi6mffv20YYNG0hBQYGmTp1K\n/v7+nBrCkydPaPHixXT+/HmaPn06jR8/nlNwEH0WNMePH6dp06aRo6MjrVmzhnR0dLhfzi9w9uxZ\nCgoKov79+9OyZcuocePGtTpOFlJTU6l3797k6+tLS5YsqZVg+lHxUzD84Hj16hX16dOHzM3NaceO\nHVL1/3/Fp0+faMKECZSUlEQ7duwgd3f3Wh2Xk5NDc+fOpaioKJo9ezaNHTtW5m5IsisMDQ2lnJwc\nmjFjBg0ePJjzw3v79i1t3bqVduzYQZaWlhQUFER9+/ZlMYJ3797RgQMH6MCBA/TmzRvy9vamvn37\nkru7O4O5lJSU0OXLl+ncuXN0/vx5KigoIHd3d3J3dyc3NzeytraWfrAA6OXLl5ScnEwpKSl0584d\nun//PpWWlpKVlRU1a9ZMymxNTEzIyMiIZRaoqKigDx8+UHZ2NuXk5NCnT58oNzdXqi0UFxdTaWkp\nlZeXU0VFBVVVVZFIJGJpDDVDViVag4qKCqmqqpK6ujrx+XzS1NQkgUBAqqqqDOZcXV1Nb968ofT0\ndHr+/Dk9e/aMnjx5Qo8ePaLs7GyysrKSag729vZka2vLeHY5OTl0/fp1unr1Kl25coUyMjKoffv2\n5OnpSd26dSNjY2PGNT9//pxOnDhBx44do/T0dPLx8SF/f39ycXFhMcPbt2/Tzp076eDBg9S+fXsa\nP348dezYkXOTk5ycTMuXL6e4uDgKCQmhCRMmyDXDJCYm0owZMyg/P5/++OOPWmvCnz59oqlTp1Jc\nXByFh4fX+jh5OHz4MI0bN47Wrl1LgwcPrvN6/zZ+Cob/AMrKymjcuHGUmJhIhw8fJhsbmzqveerU\nKRo3bhx17tyZVqxYwbARy0NqairNmjWLHj58SAsWLKDBgwfLjMsGQHFxcbRixQq6c+cOjR07lkaP\nHi2Nl68JiXawc+dOSk5OJh8fHxo8eDAns3nx4gUdO3aMTpw4QU+ePCEPDw/q3r07eXp6suLNX758\nSVeuXKGrV6/S9evXKTs7m5ycnMjR0ZFat25N9vb2pKOjw2BUHz9+pEePHtHjx4/p6dOnUk0hIyOD\nmjRpQnp6eqSnp0dCoZC0tLRIIBAQn88nDQ0NUldXJ1VVVal/4X+JWZeYo4qKiig/P5/y8/Pp06dP\n9PHjR8rOzqYPHz7Q+/fv6c2bN/T69Wt6//498fl8MjExkWoOlpaWZGVlRcbGxgztqqSkhO7du0cp\nKSl069YtSkxMpJycHHJ2diY3Nzdyd3cnBwcHatiwIePZXL9+nc6ePUt//fUX5efnU69evahfv37k\n7u7OmEv0WYhLzJYFBQU0YsQIGjFiBOnq6rKuVSQS0enTp+mPP/6g9PR0mjx5MgUFBcndAD148IAW\nLFhASUlJtHDhQho2bBinVsp1XyW+sAEDBtCSJUvqvNGqqKig6dOnU3R0NB09epTs7OzqtN6Pgp+C\n4T+EiIgImj59Oi1atIhGjx5dZ9NSUVERLViwgCIjI2nevHk0ZswY1kcuC9euXaN58+bR27dvac6c\nOTR48GC5xz58+JDWrVtHR44cIS8vLxozZgy5uLhwXsPr168pMjKSIiMjqbi4mHx9fcnHx4ccHBxY\nQuLDhw905swZOnPmDF26dIn09fWpc+fO1KFDB3Jzc2P4G4g+m51u3rxJN2/epJSUFEpJSSEAUmez\nlZUVWVlZkYWFBWloaDDODwDl5OTQq1ev6M2bN/Tu3Tv68OEDZWVlSbWFvLw8qdO4qKiIGjRoIHU8\n//LLL1Lnc01TUnV1NVVVVVFFRQWVlZVRWVkZNW7cmJSVlaXJburq6sTj8UhTU5O0tLSkSW8SIfWl\nSaaiooLS0tKkmoPEGf3y5UuysrIie3t7cnBwICcnJ4YWRfSZWd+7d49iY2Pp0qVLdP36dbK0tKRu\n3bpR9+7dqXXr1pzPISoqig4fPkx37twhb29vCggIIHd3d06TSlZWFu3atYu2bdtG2traNGnSJOrX\nr5/cd+jevXu0ePFiunbtGk2fPp2Cg4Nlmpi+REpKCk2aNIkqKipoy5Yt1Lp161odJw9Pnjwhf39/\nMjQ0pPDwcLkm1v8afgqG/xiePHlCgwYNIm1tbdqxYwdpa2vXec3U1FQKCQmhd+/e0YoVK8jLy6vW\nQic2NpYWLVpEaWlpNGXKFAoMDJS7C8vNzaWIiAjavn071atXj0aMGEGDBw/mzCyVRMEcPnyYjh49\nSiUlJdS7d2/q1asXtWvXjmWaqq6upqSkJLp48SLFxsbSrVv/r717j+qqTBs+/r2d8lAYnlAxFFLw\nAAIiJuIJyqLxnJpWY7Myn94O1rwzNjU1Nc9kU2uVjh2ectVMpS7nSV+nzJEHzURNlIREUQYURVRA\nQQRUzmf43e8fsPfz2wgKisEPr89aLH8HDvtW3Nfe931d1x2Hp6cnEydOJDg4mKCgIAYPHnzFyf78\n+fMkJiaSlJRkuVPo1KkTnp6e5oKzu7s7AwcO5O6772bAgAH06dPnqvPIWmtz3aCyspKqqipqamos\nU0mdOnXitttu4/bbb6dLly5069aNO+6445rz0yUlJWRnZ5OVlXXFQvTp06fJzs7G3d3dvHPw8fHB\nz8+P4cOHXxFECgsLOXToELGxscTExBATE4OrqyshISFMmTKF+++/n969e18xtpMnTxIREUF4eDhJ\nSUlMnTqVBQsWMHXq1EanDaurq9mxYwdr1qxhz549zJ07l+eff/6qJ2mt66qsjbvOl156ieeff97M\nFLuWzMxM/vM//5Pvv/+ev/zlLyxevLhZdxdXY7PZ+PTTT1m2bBnvvPNOq1yktTcSGBxQVVUVb7/9\nNp9//jkrV67kiSeeuOFfTK01W7du5dVXX8XFxYV3332X8ePHN/vr4+LiWLFiBVFRUSxevJgXXngB\nd3f3q/686Oho1q5dy5YtWxg3bhwLFy5k9uzZTc4rJycnEx4eztatWzl69Kg5D/7ggw/i5eV1xd9B\nVVUV8fHx7N+/n9jYWA4cOEB5eTmBgYGMHj2aUaNG4efnx9ChQ6+Y8jHuDk6fPm0uOGdkZJCZmWmm\npxYUFJhtK+ynkYyF5zvvvJM777yTbt26mQvP9ncMWmtsNhu1tbXmArRxx2C/AF1QUEB+fj6XLl0y\nF6G11ri6ujJgwADc3NzM9FVjIdrd3f2Kq2+tNbm5uSQlJfHvf/+bw4cPEx8fT2ZmJqNGjWLcuHGM\nHz+eiRMnmmm99oqKioiKijIXpSsrK5kxYwazZs1iypQpja45aa2Ji4tjw4YNbNy4kSFDhrBo0SIe\ne+wxs51JYyorK/nmm2/48MMPKSkp4aWXXuLJJ59s9gLxpUuXWLFiBV9++SXPPPMMf/zjH6/685rr\n9OnTPP3001RUVLBu3TpLOnVHIoHBgcXHx7N48WJcXV357LPPuOeee274e9bU1PCPf/yDt956C29v\nb5YtW0ZQUFCzvz4tLY1PPvmEdevWMXHiRJ577jnCwsKuepVWWlpKeHg469ev58cff2TKlCnMnz+f\nadOmXTEVZLh06RKRkZHs2LGDXbt2oZTivvvuIyQkhMmTJ+Pp6dlosMzOziY+Pp7Dhw+TkJBAYmIi\nWVlZeHp64u3tzfDhwxk6dKh5p9CnT58mg251dTV5eXnk5eVZeiM1tfDc8I5BKUWnTp34xS9+Yd4x\nNFyANtJWe/XqRe/evc3pJCcnpyaPq7y8nPT0dE6fPs3JkyfNfkrJycnYbDZ8fX3x9/cnICCAwMBA\nvL29G10LKSwsJCYmhr1797Jnzx6Sk5MJCgoiLCyMX/7yl/j6+jZ6DEaK66ZNm9i0aROdO3fm8ccf\nZ+HChdfsBZaWlsYXX3zB6tWr8fPz47e//S3Tpk1rdobP5cuX+eijj/j000+ZN28ef/7zn5udpXQ1\n1dXVfPTRRyxfvpzXXnuNpUuX3vCdR3smgcHBVVdX8/7777Ny5Up+97vf8fLLL99w2h3UXbGtWbOG\n9957j6FDh/L6668TGhra7DuT0tJSNmzYwN///nfy8vJ46qmnWLRoER4eHlf9usuXLxMeHs63337L\nvn37CA4OZubMmUyfPr3JwKe1JjU1lT179pipqBUVFYwbN45x48YRFBREYGDgFfUShrKyMk6cOMHx\n48c5ceKEWQ9w5swZampqGDRoEIMGDcLNzc2cRmq46HzXXXfd9OmEysrKRhehz58/by5EZ2RkkJ+f\nz8CBA/H09MTLy4uhQ4cyYsQIvL296d+/f6PHWVNTQ3JyMgcPHuSnn37ip59+Ij09nTFjxjB58mRC\nQ0MJDg5u8nfLyAbbunUrERER9OjRg7lz5zJ//nyzkWFTKioq2LJlC6tXr+bIkSP8+te/5rnnnmtR\nTcGFCxf48MMP+fLLL3n44Yd54403rsimul779u3jhRdeYMCAAXz66afNKppzdBIYOoj09HSWLl1K\nUlISK1euZPbs2a1yoqqqquKrr75i+fLlODs78/vf/5558+a1KNsmISGB1atXs3HjRry9vVm4cCHz\n58+/5mJdcXExkZGRREREsH37dnr16kVYWBhhYWGEhIRcdS3j3Llz5gkuLi6OhIQE+vbta6lq9vX1\nxcPD46pXfoWFhWRkZJgLzllZWZw/f56cnBzLonNFRQXOzs44OzvTvXt3nJycLBXP9jUM9lNJWmuz\n6M2oZTCmkhpOJ9XU1FgWofv162cuQru5uZkV0a6urlcd0+XLlzl69ChJSUkkJiaSkJDAsWPHcHNz\nMxekx40bh7+/f5OLwTabjaSkJHbu3ElkZCSxsbEEBgYyc+ZMZs2adc07A5vNxr59+/jqq6/YvHkz\ngYGBLF68mDlz5rTowub48eN88MEHfPvtt/zqV7/ilVdeueoUZkucPXuWV199lf379/P+++/zyCOP\ndLi1hKZIYOhgdu7cydKlS3FxceGvf/1rq2RfQN1/5IiICFauXElGRgZLlizh6aefblaLDUNVVRXf\nffcd69evJzIykkmTJvHII48we/bsawYJm83GkSNHiIyMJDIykoMHD+Ln52dOHY0fP77JaSeoy7Q5\nefIkCQkJZlXz0aNHycvLY+jQoWYrbU9PT4YMGcLgwYNxdXVt9hRGdXW1ZRqpuLiYsrIyysvLr6hh\nsJ9KUkpx2223WWoZjAVoJycns57B2dmZO++8s9knpqKiItLS0ixV0UZ9g1Gn4efnh5+fH/7+/vj7\n+191Dr62tpakpCSio6PZu3cve/fupUePHjz44IOEhYVx//33X3MOv7a2lpiYGHOKycXFhYULF/L4\n4483msp6te+zfft2Vq1axZEjR1iyZAlLlixpdsr1tRQWFrJixQr+9re/8eKLL/KHP/yh2YvdHYUE\nhg6opqaGNWvWsGzZMiZPnsxbb711w6X+9uLj41m1ahX/+te/mDlzJs8++2yTqadNKSoqIiIigk2b\nNrF7927GjRvHrFmzmDlzZrOu+MrKyoiNjWXfvn3s3buXQ4cOMXjwYIKDgxk7dixjx47F29v7mvPA\nxcXFpKSkcPLkSVJTU82ahTNnzlBQUGCmhLq5ueHq6oqrq6s5hdS3b1/69OlDr1696Nat202/mqyp\nqbEsQufl5ZGTk2NOKdlnKFVVVeHh4WHWNtjXNzSs22hMTk4OBw8eNGsdDhw4gKurK5MmTSIkJISQ\nkJBm7fdRXl7O7t27zeylvn37Mn/+fObPn8/w4cNbNP4LFy6wdu1avvjiC3r16sVvfvMbHn300VaZ\nOjWO9bPPPmP58uVMnTqVd955p0UBqyORwNCBlZaW8vHHH/PBBx8wY8YM/vSnP7Xq/OilS5dYt24d\nX3zxBQBPPfUUTzzxhGXDluYoKSlhx44dREREsG3bNlxdXZk6dSoPPfQQEyZMaFa/maqqKhISEsyp\no7i4OM6fP4+/vz+jRo3C398fPz8/fHx8mt3UrLy8nHPnznHu3DnOnz9PVlaWpW4hNzfXrHS22WyW\nNhhOTk7mlb9Rw2BMJXXq1MlSx2A00mtYy1BaWmo21CsqKqK8vBxnZ2d69+6Ni4uLGZyM5nr2GUoN\nazCaUltby+nTp81MJSNbqaSkhHvvvZd7773XXKtpzhW51ppTp04RGRnJ9u3b2bdvH6NHj2bmzJnM\nnj0bT0/PZv3dG6qrq9m+fTtr164lKiqKefPm8eyzz161kV5LVVRUsGbNGt59910CAwN5++238fX1\nbbXv74gkMNwCjJYBq1atYvr06bz22mtN7nZ1PbTW7N+/n7Vr17J58+ZmpZ42pba2lri4OLZv305k\nZCTJyclMmDCBKVOmEBISQkBAQLPXNwoLCzly5Ihl+uj48eO4uLhYMpC8vLwYMmQIbm5u1727VkVF\nBYWFhRQVFVFSUmKuEZSXl5sZScZUks1ms9QxGG0xjMykrl27WjKTunfvjrOzM05OTtfVf0drTX5+\nvtkyIzU11VxsP3nyJH379sXX19dsuhcQEHBFvcfVZGVlmZlLu3btoqqqysxcCgsLa3HhV8MU16FD\nh/Lkk0/y6KOPtmqn0tLSUlavXs2KFSvw9/dn2bJlrRpwHJkEhltIQUEBq1at4pNPPmHChAm88sor\nBAcHt+rPKCsrY8uWLWzYsIHo6GjCwsJYsGAB06ZNu6552suXL7Nnzx5++OEH9u7dS2Zmptm+Yfz4\n8YwZM6ZFbQ1qa2tJS0vj+PHj5onRmD7Kzc1l4MCBlu6pRiaSq6sr/fv3p0+fPu1qa0atNUVFReTk\n5JgZSsaUUkZGBhkZGZw5cwabzWZpmTFs2DBGjBjBiBEjWvT3Z7PZSElJMbc/jY6OJj8/n0mTJnHf\nfffxwAMPMGLEiBZPqxndWTdt2sQ///lPS4prS+8yruXixYt89tlnrFq1igkTJvD666+32lpcRyGB\n4RZUWlrKmjVr+PDDD+nfvz9Lly5lzpw5rX7Cu3TpEps3b2bTpk3ExsYyZcoUHn74YaZPn96iRWt7\nFy9eJDo6mh9//JGYmBgSExPx9PQkKCiIe++9l9GjRzNy5MjrandcUVFBRkaGWcx27tw5s/VFdnY2\nFy5cID8/n7vuuuuKojb7/khGR9Vu3brRrVs3OnfubGmH0dhUkn2RW0VFhbk3g/10UmFhIQUFBVy+\nfJnLly9z8eJF8vLy6Ny5s5mhNGDAADNLyb77anOnluxprTl37pzZldWYouvVqxfBwcFmd9aGLTWa\nq6amhv379xMeHs7mzZu5/fbbmTdvHo8++iijRo1q9TWb48eP8/HHH7Nx40bmzp3Lyy+/3Kp3zh2J\nBIZbWG1tLVu2bOGjjz4iPT2d559/nqeffrrRqtcblZ+fT0REBFu2bGH37t2MHDmSGTNmMG3atGvm\nuV+NsbYQFxfHwYMHOXz4MKdOncLLy8vMthk5ciTe3t4MHDjwhk82tbW15km5YVGbsRZQWlpKWVmZ\nWdxWVVVlKW5rbCqpYZGbsT5hX+jWWLGbi4tLqyy+FhUVceLECTON1Zh+69Kli9mVdezYsQQFBd1Q\n9s/FixfZsWMH27ZtY8eOHbi7uzN79mzmzp3LyJEjWz0Y1NTU8N133/HJJ5+QlJTEM888wwsvvNBo\nI0fxvyQwCKCu1mDVqlVs2rSJsLAwnn32We67776b0lO+srKSqKgotm3bxvbt2ykpKeGBBx4wd1lr\n6eJ1QxUVFRw7doyEhAQzLfXYsWOUlJSYbbSHDRtmZusMHjwYFxeXDp+jXlZWZlZEnzp1ipMnT5qV\n0fn5+QwbNgwfHx+zMnrUqFE3fAKtqKggJiaGnTt3snPnTlJTUwkNDWX69OlMnz69VaqSG5OZmcnq\n1av58ssvufvuu3nxxReZP3++w26c83OTwCAsCgoKWL9+PZ9//jnFxcU8+eSTLFq0qNWKhhpz5swZ\n88SxZ88e+vTpY1bbTp48uVlpkc1RUFBgpqYa6alGampFRYW5rmC/tmBUOffv3x8XF5d2eWKx2Wzk\n5+c3mrpqVESfPXuWwsJC3N3dGTx4MF5eXmZV9LBhwxg0aFCrXASUlZVx4MABoqKizDTikSNHmoF/\n3LhxjW7O0xoqKioIDw9n7dq1HDx4kMcee4xnnnkGf3//m/LzOjIJDKJRxmLg2rVr2bhxIyNHjmTh\nwoU88sgjN7W9sFFRaxRRRUdH07VrV8aPH2+mTY4aNarVctcNxcXFZoWzcVI1qpyN/Zzz8vLo1q2b\nWbvQs2dPs2le9+7dzf2djYrnbt260bVrVzNVteEag1H5bKwx1NTUUFlZSWVlpbnOYGQ32aetFhYW\nmju7Ga2+nZyc6Nevn9mS20hdta+I7t+/f6veAWqtSU9PNyvMY2NjOXbsGP7+/kyePJmQkBAmTJjQ\nKs3rmmKz2YiOjmb9+vV8++23BAQE8NRTT12xFaxoGQkM4poqKyvNiuWdO3cSGhrKggULmDlz5k39\nTw//mxcfExNjnoBSUlLMPQUCAgIICAjA19f3pp8ItNYUFhaaawvG3gv2TfOMVFWjFsFYY6iurr5i\njcGofLZfYzAWqo3tQI1AY6StNtyjoXfv3vTu3bvZ+2hcL5vNRlpaGkeOHLFsE9q5c2ezhUZwcDBj\nxoxp9h4J10trzYEDB/jmm2/4+uuv6dmzJ0888QSPP/54q91d3uokMIgWKSwsJDw8nK+//pro6GhC\nQ0OZM2cOM2bMuO5Mo5YqKysjISGBw4cPc/jwYY4cOcKJEydwd3c3i9iMrTm9vLza5fRPe6W1Jjs7\n29yX4tixYyQlJZGUlISzs7MZiEePHs2YMWNu2hpBQ0YG05YtW9i8eTN33HEHCxYsYMGCBfj4+Pws\nx3ArkcAgrltBQYGZabRr1y4CAgKYOXMm06ZNY/jw4T/rYm5VVZWZVXP06FGzTiE9PZ1BgwZZCtns\nN965FacbbDYb58+fNzf2sd8r+uTJk3Tp0sUMrD4+PowcORJfX98rNuu52QoLC9m5cydbt25l27Zt\nDBw40Nzr28fHp8MnC7QlCQyiVdj3xPnuu+/o3LmzuQ9zSEhIq1astkRVVZWZgWMUshkb75w9e5Ye\nPXo02lbb6InUr18/evbs6RC99429onNzc8nNzSU7O9tciM7KyjLbcmdmZtKzZ09zYx+j8M3Ly4vh\nw4fTq1evNjl+m81GYmIikZGRfP/99xw6dIgJEyYwffr0ZvfQEq3D4QKDUupN4P8AufUvva61/r6J\nz5XA0AaMLTm3b9/Ojh07OHjwIAEBATzwwAPcf//9jB079qZlprSEzWYjOzv7imI2+wXn3NxcioqK\n6NmzJ3369DGL2nr27ImzszM9evQwi9qMVtvGonPXrl3NdtvG4rOx8Gxc7RqLzzabjerqarPIrakF\naPs23I0VuymlzJbcjS1EG0VvN3sdoDm01qSlpbFnzx52797Nrl276NGjB2FhYQosSCIAAAonSURB\nVDz00ENMmTLllryjaw8cNTAUa60/aMbnSmBoB8rKyti3bx+7d+/mhx9+ICUlhaCgIEJCQpg0aRJB\nQUHt+gRQU1NjbpBjNM0zFp6NTKHi4mJLfySjR5LRbttYfDYWno3fy4a7uBkL0EZQsS90MzKf7Beg\ne/bsaS5Au7i4tOv20FprUlJSiI6OZt++fURFRVFTU0NoaChTpkzhwQcflLuCdsJRA0OJ1vr9Znyu\nBIZ2qLCw0Ozr/+OPP5KYmMiIESMIDg5m/PjxBAUFcc8998gcsoMrKiri0KFDxMbGmlll3bt3Z+LE\niWadSmN7dYu256iBYRFQCBwCfq+1LmzicyUwOIDy8nIOHz5MTEwMsbGxxMXFUV5eTmBgIGPGjCEw\nMJDRo0fj4eEhJ5F2qqioiISEBOLj4zl06BDx8fFkZmbi7+9PcHCw+XGjVe3i59EuA4NSaidgX4uv\nAA28AfwEXNRaa6XUO4Cr1vo/mvg+EhgcVHZ2tnmCiY+P5/Dhw5SWluLn54evr6+ZKePj43NTC+6E\nVXV1NampqWZPJWN70JycHPz8/Mw01tGjR+Pj49OuOtGK5muXgaG5lFLuQITW2q+J9/Wbb75pPg8N\nDSU0NPRnOjrR2vLy8khMTLSclJKTk+nevTvDhw9n2LBhZlrq0KFD8fDwaBeL3I5Ga01ubi6pqamk\npKRw6tQpUlJSOHHiBGlpabi5uZl7ZhsB2svLyyEyt0TjoqKiiIqKMp+/9dZbjhUYlFL9tdYX6h8v\nBe7VWv+qic+VO4YOTmtNZmYmx48fJyUlxczHT01NJTMzkwEDBjB48GA8PDzw8PAw01KNP9tDds7P\nzWazceHCBXN3OqOXUlpamrlPdJcuXcwAa/xpbGzU2u1IRPvjcHcMSql/AKMAG5AOPKu1zmnicyUw\n3MKqq6tJT08nLS3N3GPh7Nmz5okwKysLJycnS7O8fv360bdvX3PrTCM9tVevXjg7O7fLq2KtNeXl\n5WbGlH36am5uLjk5OeZGPsb2pEb9hn0Kq7F3w5AhQ+jRo0dbD0u0IYcLDC0hgUFcjc1m4+LFi2Rl\nZZkb8Ri1C3l5eWZ6qnHCLS4uNvdEMPZHMGoYGjbOM5rnNdZAr2ETvYab9Rh7Pxsf9pv2lJaWUlxc\nfEU9Q6dOncwAZp++atQ02G/kM2DAAGkTIq5KAoMQzVRbW2vuomY0zjOa5xmb81ythsEoZLPZbOb3\ntK9jsK9l6NKli1nPYF/LYNQzODk5mQV2PXr0kOkd0aokMAghhLC4WmBo/a27hBBCODQJDEIIISwk\nMAghhLCQwCCEEMJCAoMQQggLCQxCCCEsJDAIIYSwkMAghBDCQgKDEEIICwkMQgghLCQwCCGEsJDA\nIIQQwkICgxBCCAsJDEIIISwkMAghhLCQwCCEEMJCAoMQQggLCQxCCCEsJDAIIYSwkMAghBDCQgKD\nEEIICwkMQgghLCQwCCGEsJDAIIQQwkICgxBCCAsJDEIIISwkMAghhLCQwCCEEMJCAoMQQggLCQxC\nCCEsJDAIIYSwkMAghBDCQgKDEEIICwkMQgghLCQwCCGEsJDAIIQQwkICgxBCCAsJDEIIISwkMAgh\nhLCQwCCEEMJCAoMQQggLCQxCCCEsJDAIIYSwkMAghBDCQgKDEEIIizYNDEqpR5RSR5VStUqp0Q3e\n+6NSKlUpdVwpFdZWxyiEELeatr5jSALmAHvtX1RKjQAWACOAqcCnSin18x9e24uKimrrQ7ipZHyO\nrSOPryOP7VraNDBorVO01qlAw5P+bGCj1rpGa50OpAJjf+7jaw86+i+njM+xdeTxdeSxXUtb3zE0\n5W7gnN3zrPrXhBBC3GS33ewfoJTaCfSzfwnQwBta64ib/fOFEEK0jNJat/UxoJTaA/xea324/vlr\ngNZaL69//j3wptb6QCNf2/YDEEIIB6S1bnTt9qbfMbSA/QH+D7BeKfUhdVNInkBcY1/U1MCEEEJc\nn7ZOV31YKXUOGAdsVUptB9BaJwNfA8nAd8AS3R5ubYQQ4hbQLqaShBBCtB/tNSvpmpRSf1FK/Vsp\ndUQp9b1Sqr/dew5dHKeUWlF/7AlKqW+VUnfZvefQY4Nbo7BRKfVLpdQJpdRJpdSrbX08N0optVop\nlaOUSrR7radSKlIplaKU2qGUcm7LY7wRSik3pdQPSqljSqkkpdT/rX+9w4yxRbTWDvkBONk9/g3w\nWf1jb+AIdesnHsAp6u+MHOUDeADoVP/4PeDdjjK2+nEMA7yAH4DRdq+P6CDj61R/7O7A7UACMLyt\nj+sGxzQRGAUk2r22HPhD/eNXgffa+jhvYHz9gVH1j52AFGB4RxpjSz4c9o5Ba11i9/ROwFb/eBYO\nXhyntd6ltTbG8xPgVv/Y4ccGt0Rh41ggVWudobWuBjZSNzaHpbX+Echv8PJsYF3943XAwz/rQbUi\nrfUFrXVC/eMS4Dh1/+86zBhbwmEDA4BS6h2l1FngV8Cf61/uaMVxi6lbgIeON7aGOsr4Go4jE8cc\nx7X01VrnQN2JFejbxsfTKpRSHtTdHf0E9OuIY7yW9pSueoVrFcdprf8E/Kl+Dvc3wLKf/yivT3MK\n/5RSbwDVWuv/1waHeEOksPGW5PCZLEopJ2AT8FutdUkjdVIOP8bmaNeBQWv9YDM/dQOwjbrAkAUM\ntHvPrf61duVaY1NKLQKmAffbvewQY4MW/dvZc5jxXUMWMMjuuaOO41pylFL9tNY59ckfuW19QDdC\nKXUbdUHhv7XW4fUvd6gxNpfDTiUppTztnj4MnKh//D/AY0qpzkqpe7hKcVx7pZT6JfAKMEtrXWn3\nlsOPrRENCxs7wvgOAp5KKXelVGfgMerG5ugUV/57Lap//CQQ3vALHMwaIFlr/V92r3W0MTaLw9Yx\nKKU2AUOpW3TOAJ7TWmfXv/dH4D+AaupuCSPb7ECvg1IqFegMXKp/6Set9ZL69xx6bFBX2Ah8AvQB\nCoAErfXU+vccfnxgBvf/ou7ia7XW+r02PqQbopTaAIQCvYEc4E1gC/ANdXd5GcACrXVBWx3jjVBK\nTQD2UbcVgK7/eJ26C5Ov6QBjbAmHDQxCCCFuDoedShJCCHFzSGAQQghhIYFBCCGEhQQGIYQQFhIY\nhBBCWEhgEEIIYSGBQQghhIUEBiGEEBYSGIRoBUopT6XUUqXUvPrn/13/5462PTIhWq5dN9ETwoG4\nAHlAJ6XU3YDR42qrUmoscBcwRGv997Y6QCGaS+4YhGgFWutY4CEgAggCYurfOg7M11rvAroopQY2\n8S2EaDckMAjRemxa6wpgJJBc31m1Erij/v0SrHtUCNEuSWAQovX8Wyk1ByikrhPpfGB//XOAHtR1\nJhWiXZPuqkLcZEqpicDtgF+DXv9CtEsSGIQQQljIVJIQQggLCQxCCCEsJDAIIYSwkMAghBDCQgKD\nEEIICwkMQgghLCQwCCGEsJDAIIQQwkICgxBCCIv/Dxp1iG5ikZUpAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a2e7310>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def gaussian2d(mu,sigma,xvals,yvals):\n",
    "    const = (1.0/(2.0*np.pi))*(1.0/np.sqrt(np.linalg.det(sigma)))\n",
    "    si = np.linalg.inv(sigma)\n",
    "    xv = xvals-mu[0]\n",
    "    yv = yvals-mu[1]\n",
    "    return const * np.exp(-0.5*(xv*xv*si[0][0] + xv*yv*si[1][0] + yv*xv*si[0][1] + yv*yv*si[1][1]))\n",
    "\n",
    "\n",
    "xp = np.arange(-30,30,0.1)\n",
    "yp = np.arange(-10,10,0.1)\n",
    "Xp,Yp = np.meshgrid(xp,yp)\n",
    "Z = gaussian2d(prior_mean,prior_cov,Xp,Yp)\n",
    "CS = plt.contour(Xp,Yp,Z,20,colors='k')\n",
    "plt.xlabel('$w_0$')\n",
    "plt.ylabel('$w_1$')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<p>We can now add the data - we'll do it two at a time to see how the posterior evolves. The left-hand plots show some samples from the posteior (blue lines) as well as the posterior mean (dark black line). The right hand plots show the prior contours (black) and the posterior contours (red). Note that we've zoomed into the area of interest.</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 11.12293727]\n",
      " [ -0.05319782]] [[ 0.28106107 -0.01545975]\n",
      " [-0.01545975  0.00118833]]\n"
     ]
    },
    {
     "data": {
      "image/png": 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DB+lNyQfg2mv9yUNLlqhllukOdJz6CfKKCNrbVRqyJLaDB4csgoAIAkwYDCdyKFNnsR8i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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109985350>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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27FgB5qPQWlB4oxFs3CiLpBkzRIgYlTCxsAg4dDQCF9OQbNBf6Tq+RHp+hAMH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\n55+u582aNau8l3GnTp2Ymfnee+WnKvnpJ+amTaX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4dIkoJsalS9TSpUvpw5kziRYuNB5j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\n4/8DYLjLHNfxj6QAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109377210>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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qATt2cORQQYHr/QQGAwuaFi1ce12N6oMQQgdgIYBeAJIBDBZCJMkcNw/Aj5U7QqZp06YQ\n27cDq1YBc+e6/gaRkcA333D0UffuXATMDmrMJTh69KhLO3m5AjWah1QnCOrVAw4e5Mih4GAOanAl\nJ05wRFJEhGuvq1GtaAvgMBGdIKJiAF8AuFPiuGcAfAnAIx7SpMREjD54EDRvHjuI3YFOB8yeDfTp\nA/TowXkJMqhNIzCVo86zM2ZPUK9ePdXVHFKdIGjatDRgoUEDjvBxJZpZSEMBsQBOWXzOMm4zI4So\nA2AAEb0Li37elUnE6tW47uWF0926ufdGQrDGcdttLAxkSjckJibiyJEjqrF/m8pRq63UhBojh1SV\nRwBwjsuKFfy+ZUvg++9de31NEGi4iDcBWPoOZIXBtGnTzO/T0tJc15hk/Xr8XL8+bvvnH8TVreua\na8ohBPDaa8DrrwPt2gETJ7Jj2iIGOzg4GAEBATh37hxq167t3vEoxOScvfnmmz09FDNxcXHl9l2k\np6cjPT3dtQOCCgVBx47coKakhKPhPv2U33u7aKR79gCDKt2tp1HFOA3AsvZCnHGbJTcB+EJw9lRN\nAH2EEMVEtNb2YpaCwKVkZUFnXF127tzZPfewRAjghReAgQOBESOAr74Cli0DEhPNh9StWxdZWVmq\nEQR16tRRXZG3mJgYbN68uVzn2i4kpk+f7pIxqc40lJjI5acPHuQQUi8vp3Nb7KJpBBoK2AqgkRCi\nnhDCF8D9AKwe8ESUYHw1APsJnpISAm4lKwsBjRtXvr25YUPgt9+Ae+/l1drCheaa8XXr1sWpU6cc\nXKDyiI2NVZ0giI6ORrY7SyuXA9UJgoAAwNcX2LyZ/QV6vesih/LzOUehcWPXXE+jekJEegCjAPwE\nYB+AL4jogBDicSHESKlTKnWAAP8wsrMR1qyZZ+zNOh3w7LPAn38CH30E3H03cOmS6gRBnTp1cPq0\nrTLnWaKjo3H27FlPD8MK1QkCgAMg/v6bo4YCA4EtW1xz3X37uHSFZWkWDQ0piOgHImpCRIlENM+4\nbTERvS9x7Agi+qpSB5ibC4SFIT4x0bOOx8REzmquUwdITcVNOp2qBIEaNYKYmBjVaQSq8xEAPKcy\nMvh9XBzntbgCzSykUW3IygLi4tTR/tDPD3j7baBzZwx+9FF83KSJZ8djgRo1guDgYBgMBly9ehVB\nQUGeHg4AlWoEjRqVRqi5svicJgg0qg1ZWUDduuoqWXDPPchYtAi3Z2RwmQoVJHKp0VkshFCdeUiV\ngqBZMy4VfeUK175ylRalCQKNasOpU0BcHPz9/REREaEaU0Nkhw64s2ZNjvt+7DEO+fMg4eHhKCws\nxLVr1zw6DlvUZh5SpSCIjwdCQtim36ULl1hXWPdKFiJNEGhUI86d43osUFfJgtjYWOzNzYX+l1+4\nfPCAAYAHH8JCCFVqBZpGoIDYWDY7ZmRwsxoAqGjtqNOnORdBJeHNGhoV49IlICwMgLoyVf38/BAe\nHo6ca9eAr7/mWi6DBnFXNA+hVodxlRIEQoglQogcIcQei213CyH2CiH0Qog2ds49LoTYLYTYKYT4\nW+mg4uI4Om7PHo4c8vMDNm5UerY0mjagUa24fJmLZgHqcBhbYA4h9fEBli4F/P05Ac1Dfgw1OozV\nlkugRCNYBq7CaEkGgIEAfndwrgFAGhGlEFFbpYOKi2P/gClyqFatioeQ7tlTql1oaFR5LASBmjQC\ngEsoZJkaiXh7A198wd3Txo3zyHg005BjHAoCItoIIM9m2yEiOgzHxbaEknvYEhLC2ex79rBtv2HD\nihef0zQCjWqFhWlItRqBiYAAYO1a4IcfuF5RJRMbG6s6jaDKmYYqCAH4WQixVQjxmNKThADq1mUh\nkJ3NK/mKznNNEGhUK2xMQ2rSCCSziyMigB9/BN56y+kWmBVFrRpBVTMNVYRbiKgNgL4AnhZCdFJ6\nYmws9ybIyABuucVhTwy7FBZyXkLTpuW/hoaGqrDQCOLj43Hy5El15BKATUOS2cVxccBnnwEjRyrq\neOYqNGexY9yaWUxE2cZ/zwkhVoMbfsi6fS2rNHp7pyEqKg0ZGexnKiriWkGBgc6P48ABNi85289b\no+rirnK9qsFCI6hRowaCg4ORm5uL6OhoDw+stAKpJJ07A0OHco7B6tUV66+sEDU6i6OionD+/Hno\n9Xp4WZTy9hRKBYGAvD9AcrsQIhCAjoiuCiFqAOgJwG7NVEtBMGkS5xFkZLBW6e0N/PEH0MvWba0A\nzSx04+Gucr2qwGAA/v2XnWlGTOahCgmCS5e4NeWaNZy8ExXFkRrR0dwPOTlZ0WUcFp6bMYN7Gixb\nxqs8N2MyDRERRCUIHiX4+PggPDwc586dU4XwVhI+uhzAZgCNhRAnhRAPCyEGCCFOAWgP4FshxDrj\nsTFCCJMBsDaAjUKInQC2APiGiH5SOrDYWC5waIocCg8HNmxw5quVogkCjWrF1ausGls06ahQ5NDm\nzdyKMj4e+PJLoH9/4LnngJ49+YeYlcWdyTp0AJYs4ZA+O9SpUwc5OTkokcsq9vNjE9H48RVPEFJA\nYGAgAgICcPHiRbffyxnUZB5yqBEQ0QMyu9ZIHJsN4A7j+38AtC7vwOLiuHn9wYOcpR4XB+zaVb5r\n7dnD81pDo1pw6ZLZLGSi3H1wf/0VuP9+YP584L//5cQdKf7zH2DdOhYE48cDr7zCq3mJFbaPjw9q\n1qyJ7Oxs1JXrnNa8OXc5GzqUVX2de92VJq0gMjLSrfdxBpPDuHXrcj8mXYYqM4sBXohkZ3Ml0sOH\nuf5QeftiaxqBRrXi8mWzo9hEuUJIf/yRhcCqVcDw4fJCAGDto18/Nhv99huwaBHQu7ds1yi7fgIT\no0dzaOAnnzg37nKgxhBSNeUSqFYQxMVxWYgWLdg81LZt+YrP5eSwozk21vGxGhpVAgtHsQmnTUPf\nf8+r8TVr2IHrDC1acIZn585AmzbcmMYGRQ1qdDpgwQJ2CDowN1UUNYaQqsk0pFpBEBXF/rCmTVkQ\npKVx7Sq93rnrZGSwNqASH5GGRsWpqGnozz9ZA1i7lmOzy4OPDz/A09OBWbOA2bOtyk7LhpDacvPN\nQPfufL4bUWMIqZpyCVQlCNavX29+r9MBMTH8ysjggAVTL2Nn0MxCGtUOna5MOV6nWkR+9BEwYQLQ\nvn3Fx9K8Odv4v/qKTUfGB5tTD965c4FPP2Vzk5tQ00PXRO3atZGbm+vpYQBQmSCYOHEiyGpVwabQ\njAxuYl+jBvu2nEETBBrVjpYtgd27rVbgYWFhKCwsREFBgePzL1zgCCFXERPDWkZKCtC6NfDVV+Y4\neUXUqcPC5I03gOnT3dLQJjIyUnVRQ+Hh4cjLy3N8YCWgKkHw119/Ye3atebPcXH8b3Y2R8zVrs29\njJ1BEwQa1Y7YWM4lsLAvCyFQq1YtnFOSsXvhAifnuBJfX2DmTC49PXYsOq9ejbycHOXnJyRw7+NV\nq9jk5GJhEBkZiQsVKU/gBsLDw1UjnFQlCABg8uTJ0BsdAbGxPNeTkji5rFEjYP9+5dcqKWFTksI8\nGA2NqoEQvPq2iaeuVasWcpQ8fC9edL0gMNG+PbB9O8IvXMDsjRu5k5pSatUC1q9nR/aECS4VBhER\nEap56JqIiIjQNAI59u7dixUrVgBgjSAri1f0GRk892Wi1STJzORr1KjhpsFqaHiK1q2BnTutNim2\nOV+8CLgznj4iAheXLcN3vr7sDHbGnluzJh//889cttpFwkCtGoEmCOwwdepUFBUVmZMaW7RgE88t\ntwB5ecojhzSzkEa1JTmZi2hZoFgjcIdpyIao2rUxu7iYexE88ADw/vvKT46MBH75hfMVJk50yXjU\nKAjCwsJw6dIlVRQLVJUgiDBOzmPHjmHJkiVlcglatWKtWGm4tCYINKotTZoAhw5ZbapVq5ZjjaCg\ngFdS5ane6ATBwcEoKirC9fbtub3ga68BY8cqX8VFRAA//QT873+SeQrOEhISgoKCAhR5sGWmLd7e\n3ggKCsK///7r6aGoSxBMmDDB/H7mzJmIjMw3awQZGewzIAK2bVN2PU0QaFRbmjRhB5iF6USRaSgv\nj1fcbk6sEUKgZs2aHDmUmMgJaDt2cP/i/HxlF4mM5CJ4L77IjuQKjkdNzlkTajEPqUoQPP3004iJ\niQEAZGdn46uvFiI3l82GAJCby8XnlM4JTRBoVFsiIrgXsEXkkCLTUCWYhUyYBQFQ2pgmJIQrmV67\npuwiTZsCH38M3H23clOADGoNIVXDmFQlCAIDAzFlyhTz5/nz5yE8/DJyc0u1gvh4ZcXn8vL4Vb++\n+8aroeFRTFqBEUUagTsjhmyIioqyDmf19WUzT/36XO306lVlF+rTh7WC/v0rVIpCjX4CTSOQYO5c\noG/fEUhISAAA5OXlwcvrNSvzUHIycOSI42tlZPA5bi5qqKHhOZKSrPwEijQCd0cMWWClEZjw8uIK\npk2acNE6pQ/2554DUlOBMWPKPR41CgK1hJCq6jG5axfQqpUvwsNnmLfl5r6B/ftzLYrPGZCba8Df\nf2+3623XzEIa1Z7yaASVbBqSTHDT6YDFi7k8Ra9eynwGQgBvvgn88APXNyoHahQEmmlIgrAwLoY4\nbNj9CAhoDgDQ669h8eK5aNkS2PpXPtLfGgmhL8a2Lg/hudRU7LOJpTahCQKNao+NRlCzZk1cuHDB\nfjhiJZuGZMtM6HRcWyghgfsaKMkXCA0F3nmHex4rKaVhgxqTyjTTkATp6VyifMIELwQHl1Yj/Ouv\nRXjssRM4cNAL846shw5A3PUEvLlrFxaPGCE58TVBoFHtsQkh9fHxQUhIiP1Vb0VNQ1euAO+9B7z6\nKlcdnTKFQ0MzM8scKmkaskSnAz78kJ3AM2cqu3///pxMp/R4C9SqEWiCwIbQUDYP/fsv8Mcf/dC4\nsak6YhGOHJkGgi+a4DCK4IupmIZP8BBiDwRh06bdVtcxGIC9e9lHoKFRbWnQADhzxmp17NA8VF7T\nEBG3sWzWjJO9zp8Hrl9nm//Ro0CXLrzymj4d+OcfABLOYin8/dkM8OGHfH0lvPUWH797t+NjLVCj\nIFCLlqK0eX2lsG8fzy1/f6BxY4H33puDrl27AgAKCz9Bc9EWd9I5/AcvIAMt8CJeBRVdx5UecYiO\n5jmanMwLnuBgzVGsUc3x9mbTypEj5lWPKaksWa7AVnlMQ0eOAKNGcXbn8uXArbeWPeadd7j38Zdf\nclmJxx9HrY4dlVUgjY7mYnU9e/L3adPG8fHz5gGPPML5Cd7KHmNqFASaRiBB48bWoaG33XYbOnbs\nDgAwGAw47bsUAkAH/Ik4ZOE9jERQ8HEEBAjccgv3t4iI4Naq+flcrbRePaBvX+CFF4Bly4C//nJ7\nMyQNjcpDwmFsN3LIWdNQXh7MP64dO6SFAMCrrk6d2KG7ezdw/Dg6Pvoo2hw5osz+n5ICvPsucNdd\nysJKH36Ys6M/+0zxV9EEgTyqEgTt2vGD2pK5c+eY3+cVbsOyoFqo4b0XWYjFry1P4tv0YOzZI5CU\nxBrj//4HBAUBjz3GD/xffwWeeILn/vr1wJNPsoCIj+fw5BdeAJYu5fuqINNbQ8M5JEJIXWoamjUL\nGDCAfyg+PsrOiY0FPv8cVxYtwiNnz3KtoevXHZ93991sYlJSX0gI9hPMns1lhhWgFjOMJaoZExGp\n4gWAli4lGjyYyuDjM5AAEAAKDOxDU6b8Q/7+JZSZqbc6Tq8n+vFHothYosBAomHDiP74g8hgsL5e\nSQnRkSNEa9cSzZ1LNGQIUZs2fE7dukS9ehGNGUP04YdEf/5JdPly2TFpVC14qjs1H3sDOAggE8B4\nif0PANhtfG0E0ELmOu79YsuWET34oPnjzJkzaeLEifLHx8YSnTql7NqZmUSRkURnz5ZraEVFRRTk\n5UWG++4jat9e2XUuXCCqU4do40ZlN+ncmejTTxUdmpWVRTExMcquW0kcPXqU6tWrV+7znZ3Xci+P\nCwDzQADat48oIaHsl23UaB8JIczC4PXXN1BoKNHXX0v/cRISeB699hpRUhJRkyZE8+cT5eba/6OW\nlBAdPcoCYt48oqFDiVJTWUDExbGAeP55FhCbNxNdumT/ehrqwZkfDFhTPgKgHgAfALsAJNkc0x5A\nKJUKjS07XDBXAAAgAElEQVQy13LvF/vzT6KbbjJ/XLx4MT366KPyxwcEEF27puzaAwcSzZlToeGF\nhobSxfPniV5+mah+faKMDMcnrVrFP9qCAsfH/vILH1tS4vDQgoIC8vX1JYPtytCD5OXlUUhISLnP\nr5aCQK8nCgkp+8Du3Zuoa9dhZkGQnNyJ/PwMknP03395rhcX82eDgbWChx4iCg0luvtu1hr0+rLn\nyqHXs4D45hsWEMOGWQuInj1ZQHzwgSYg1IqTgqA9gHUWnydIaQUW+8MAnJLZ594vdvEiUXCwWe1d\nvXo19e/fX/rY/HwiP7+yKrIU6elE9eopexjboWHDhpSZmckfPv2UKCqKhZcj7rqL6KWXHB9nMBB1\n7Ei0YoWi8QQGBtKVK1cUHVsZ6PV68vLyomLTA8tJXCUIVOUj0Ok44MC2HWVsLNCt2zT4GG2U+/Zt\nhMGwzrYvBwAOG23WrDSQQAj2YX30EXDiBNC1K/DSSxycMGMG9ztQMq6EBOCOO4Dx47kG1rZt7IPY\nsAF49lkOZPjjD34fG8sNcXr1Ap5/niPdNm8GLl2q2N9Ho9KIBWDZWivLuE2ORwGsc+uI5AgP5zA7\nY2N2u85ik6PYUeVRg4FLOcybx9euAFYhpEOGcMTGgAFlSmiXYeFCLkWxY4f944TgXIaZM3ncDlCb\nw1in0yEkJASXPPxwUJUgAKQdxnFxwPXrDTBy5EjzNp1uEnbtkk4ka9VK+tqhoews3r4d+OorLtzY\nsiUXQ1y9Gigudm6sOh2Hct9+O9fE+vhjYOtWdjpv3MhCoU4dfv/cc/w9YmM5Su6554APPtAERFVH\nCHEbgIcBjPfYIJo25RUQ+MEr6yy+ehUICHB8vfXruW/AffdVeGiRkZHWIaS33w7MmcOrJHtFw6Kj\nOWlt2DDg8mX7N+nZk6uavvWWw/GoxjlrgRoih1SVRwBwy9OFC623xcXxA3POnMn48MOlKCwsQGHh\nLhw79j/o9ffBy6v0WKUZxW3acIb7a69xpNF//gM89RTw0EMcnpyYWP7voNNxgcX69XnemzAYuNXm\n/v2cM7F5MwuDAwd4HpvyICz/DQ8v/zg0ys1pAPEWn+OM26wQQrQE8D6A3kQk+0ueNm2a+X1aWhrS\n0tJcNU7TRfnh3bMnQkND5RudNGjAq59//+UJJ4cQLutZEBISgiu28dojRnCkT1oa1w5q3lz65GHD\neGV15518nJx2IgSwYgWr/vHx3PNAhqCgIFxVWvW0kggKCsI1hWW509PTkV7OWkt2cYV9yRUvGG2p\nOTlEYWHWNvzvv2c7PBHRqFETzL4CnS6RDh60tq116kS0fn05jG1EdOAA0dixbMZMSyP67LMKm0gV\nodcTHT/O33P+fKLhw4natiUKCiKKiSHq3p3o2WeJFi9mf8fFi+4fU3UDzvkIvFDqLPYFO4ub2hwT\nD+AwgPYOruX+L7dxI1FKChERXb9+nXx9feWP7dSJ6Oef7V9vxw6i1q1dMrTHHnuM3nvvPemdy5cT\n1a7N95NDrye67z52XDtyCG/fzj/eTZtkD+nVqxetW7dOwcgrj/bt29MmO2O2hzPz2t5LdaahWrW4\n+Jxl6RJTE3sAmD79RQgRCgAwGA7j7bc/Mh9HxBpBeUtLJCWxhpCVBTz9NPDJJ3zvZ5/l67oLnY4T\n30x5DabEt3//5cTJMWN4obNlC3f7i49nk1P37lybafFiNj+pTOOtshCRHsAoAD8B2AfgCyI6IIR4\nXAhhsk++DCACwCIhxE4hxN8yl3M/bdsCx44Bubnw8/MDEaGwsFD62I4dWRW1R0SEyyZTcHCw/Ap8\n8GBWy/v0gaTDD+Afx8cfs0PuqafsJ6e1acPHDhokWfsIAGrUqKF49V1ZqGFMDgWBEGKJECJHCLHH\nYtvdQoi9Qgi9EEI2H1wI0VsIcVAIkSmEUGxDbduWsHLlP9i+nUtNcxN7wvbt2/HPP8dQr94487Gf\nfTYd143JKidPcjKZqaNZefH15dyWH39kp3B4OJt42rVjU05lZSYLUZr4NnasdeLbli0sNOLj2bn+\nwgtsioqJYQHx7LMsIP74QxMQ5YGIfiCiJkSUSETzjNsWE9H7xvePEVEkEbUhohQiauuxwfr4ALfd\nBvz8MwB++JYxx5jo0AH480/713OhIAgKCpIfC8AP7Xff5Uku5xj282On3o4dnEBmjz59OAmub19u\naWiDGh66tgQGBiJfaftON6FEI1gGoJfNtgwAAwH8LneSEEIHYKHx3GQAg4UQSY5utm/nTpzZ+Dr+\nnPUzTnTujOdSU/HHDyuQf+U6Dt7aFyc6d0bQlVgEBPDT/vLlLLz77rsA3FNxtH59rqN1/DgwdSrw\n/ff88H30UX4Y21uguAuTgOjdmwXEkiU8lsuXrYXC33+zE7tBA/a9desGPPMMF4/84w9OMtWoJvTs\naRYEknZ5Ex068GSxF2ETFMSZwC5o9K7IJj9woGNhEBwMrF0LvP8+R3bY49FHWdsYOLBM1nGNGjVU\n5yOoEoKAiDYCyLPZdoiIDgOw501qC+AwEZ0gomIAXwC40969DAYDFo8YgblnvsK5klQMys/Hf3bt\nwsePPoIGdAqpBeEYlJ+Ppy9sRogYYD5vzpw5uHLliltLT3t58SJj9Wp27iYmAkOH8v0WLFDHqlsI\noG5dFhBjxrCA+PNPjkrato2FQkKC9fvoaA6pfeYZ/i1u2KAJiCpJjx7ATz8BRAgODpZ3GNeuzSt+\ni/pEZRCCj3FBJIti5+zAgazC9u1rjoAqQ0wMawYjRzq21U6fzgLNRoNQo0aghjG500fgbCw2du7c\nibTMTKRiJw6gKQrgj90A7i8oQCxO47Tx9NbYg8CCR+Djw4Ed58+fxxtvvFFpPQiiozmfIDMTePtt\nDmxISOCSKuvXKwpnrlSEKJvXYCkgJkzg8e/YUfq+dm0WEKNGsYD4/XeuPKyhUho25Kiaffvsm4aA\nSjUPORWlM2AAh+/17s0+Dyluuol/dP37S5p+zOh07GxbtIg1IIvxePqha4saNAJVhY8uXrwYl4uK\nsAclqItPsQNt4A92bMUhC1mIAwAkYx9OU0s0aTIOe/c+AwB47bXXEB39NCZPrpx+rAA/YNPS+HXx\nIvD555wfkJ/PIajDh/MiRq2YBERcHFsWTBBxmft9+zjUdccOLvK4bx/7T5KTy4a5RkV57ntI4bYw\nO7UihNk8FBISIq8RAKWC4JFH5I8pryDIy7OymTbKzMSvzqwgHniAbZw9enAEhNQP6P77uW/tXXdx\nVUlfX+lr1anDq5ghQ7iscVAQatSo4bidZyVTo0aNai0IFMViW/Lee+/hua1bMWXXLpxDCf5COzyL\nzZgdEIDGBaWCoAauwt/3Im699XEcOrQIxcUHcOXKFeTnz0OTJvPd943sEBHB5pVRo1hD+PBDfkB2\n6cImy969FZdN9zhCcOKbKfnNBBEnsJoExK5dLPwsBYRtLoSnBIRtvP706dM9M5DKpEcP4MMPHWsE\nbduyrd0e4eHOC4Lz53lVFBEB1KgBAGh87hze3r0buPdeLgN8222O8xOefJLv3bMnq6JS1VJnzgT6\n9QOmTeMENTkGDQK+/ZZV4Q8+UK2PwNNailLTkIC8P0Bu+1YAjYQQ9YQQvgDuB7DW7mB0Ojy+dCme\na90aOt9dWOXVEc+3aoXhS5bgz1iBP7zrYVVgIEa3aoXUDkHw8fFBzZqlLesMhoU4d86urHE7QpT+\nzk6d4rk6ezY7b19+2dy8qUoiBC+yevTgsNX33wc2beJF4K5dwKRJ3FNi925g8mR+HxXFz4annuLe\nJenp9jV6jQrQtSuwcSMiAgPtC4Lmzdmuac8Z7KxGkJfHE+POO/nhvW4dsG4dDi9ciDtbtuRJMHo0\nZ0F/843j602cyIJgwADpcep0HEa3dKnjcNgFC9hmu2aNKuzxtqjBNKQkuWY5gDMACgGcBKfTDwDb\n/wsAZMNYoAtADIBvLc7tDeAQOPFmgoP7mJMk9Ho9rVqVQTEx10lvzCxbtUpPt96aR9u2bSO9Xk+T\nJhE98ghR3boGiohINSeZPf744+VKzHA3e/YQjR7NVX27dydauZLo+nVPj8q9GAxEZ85w/tKCBUQj\nR3I+U3g4Uc2aXEH4ySeJ3n6bkwBzcpTVQysPcFHijbMvVEZCmSXt29PCu+6i119/3f5xSUlEu3fL\n7x89mug//1F2z8uXOQNyzJgy/4EZGRnUrFkz/mAwEP30E1GjRpwklpNj/7p6PVG/fkRPPCF/zFdf\nETVsSOSokNxvvxHVr09fLl9OgwYNcvydKpFFixaV+7nlqnmtJGroASKqQ0R+RBRPRMuIaA0R1SWi\nACKKIaI+xmOziegOi3PLxGIrQafTYeDA5rh+3Q+5uTzEunV1uHYtDKmpqdDpdGjRgrPlz58XCAsr\nVQ2XLFmCI/ZqmHiIFi24eVNWFmfYL17MET5jx7KZpToihHRew4ULHPQxZQon8e3dW/o+KorNaU8+\nyaVG1q8HcnI8E6ZbJenRAy2zs+1rBABHVdiLvFGqERQUcJLNTTdxNqaN2cfKWSwEaw179nAGZYsW\nwKefyl9bp2Pn1IYNHPMsxcCB3EHthRfsjzMtDUhKQtONGzWNQALVZRabMJlYTAXoLLOLAZ5Dhw6x\nKfL06R4IC+sCACgpKcHUqVM9MGJl+PtziPOvv7K/zs+PH5S33MIVUlU2R92CSUB068YCwjKvYe9e\nztdo1ozfT5tW6ozu3JkFxNtvs4A4e1YTEGXo2RONT5xwLAhatbLf/F2pIFizhh1Eb78tafuXzCwO\nCABeeYXNR3PnsmNNrstYSAj3M546lQWCFG+9ZTZF2WX2bDRcuRIljorYVTJqcBarVhAA1pVIa9Vi\nM6Qpcz4xkXtpN2oEhIYKlJSUagUrVqzAHnfWhHARDRuyn+vkSQ5HXbWKtYQnnuAKqTfaQ04I67yG\n997j3/758+yQnjaNHdD793OYePPmnEXeuTP/zd5+mwXsDS0g2rVD2MWLIHt9iwHXaQTr17MdXyf9\nKLGbWdymDa+GDh/mGu9yD+hGjVhzuO8+/rHYEhrKq6hHH7Wf9t+mDfJTUtD/xAn736mSqUrOYo9g\nKQi8vPghYSy7Dh8f7tsdGclzVoiOuOMOtkoRESZPnuyhUTuPtzeHRX/zDUfFxcVxiYs2bdjBeqOX\nqRZCOq/h3DlroXDgAPeYaN6c58WttwKPP66oOnH1wccH55o2Rf2jR+0f5yqNYP16/o+RwdfXF0SE\nIjnHdGgo8N13vCrq2FE+mqJnT3Y2Dx8unahz2208jtdeszvcvDFjMCQ31yXJcq5CDaahSneeyb0g\n4VQ7d447lpmKDnbowNU3TQwdSjRgAFHjxtyecvfu3WanMQDavHmzI1+LatHr2cl6773cWW3oUKIN\nG9znTK1u5OSwf3DhQnZI40ZxFhPRnieeoJ9iY+0fZDBwmV+5PsJ//WXVAlOSf/4hqlXL4aQMCwuj\nCxcu2L8WEdFbb3FP5SNHpPeXlHDv44UL5ccTEUGUnS17i1OnTtHywEAie32dK5m///6bUlNTy3Wu\nq+a1qjWCmjXZNmzKho+NZXOQiRYt2FR07RqbKVu2bInBgweb90+cONH0Y6xy6HTsO1i5kjXn1q15\ndZuUBMyfr4VgOqJWLfYPPv00J5feSBR06oTW587Zt48JwVqBnHlIiUZg0gYc5AXYrUBqyTPPcNxx\njx7WP3QTXl5sApo2TTrzuH591hjs5IwEBQVhlk7HdsezZx2PqRJQg0agakEAWJuHpBzG58+zadH0\nd5wxYwa8jJ1q0tPT8csvv1TyiF1PVBTXDtq3j7Pm9+/nGP277+Z+HXq9p0eooSa8k5JQTMS2MnvY\n8xMoFQTdujkcj1NlJp54glc8PXtKF71q0oTroIwYIW0imjiRO03ZKUN9qKAA9MADwBtvKBuTm9Gc\nxQqwJwiSkw04fLgY164Rzp4l6PVAQkIC+vfvbz5GTiswGAzYvn27udS1HEqPqwyEYDPqsmXcf7l7\nd15AJSTwIkjKj6Zx4xESGopNfn7Ab7/ZP9CenyA0lB2vcqsMIof+ARMOS1HbMn48O8369JF2/j73\nHPeVfeedsvsiIzmUdOJEyUv7+PhAp9Oh6KmnOBlNBWF6mrNYAZaCwNI0tG/nTrzaLxXFl66ACPA2\n5OLDt7/Bc6mp6LNuHXyM52/btg2rbcrW7tu5E8+lpuJE587mUtf7JBpjKD3OE4SG8uJp2zaO4MvN\nBVJSuHjjV185339Zo/oQHByMdCEcC4KWLeUFgZcXh27KRfIcOsT22AYNHI6nXO0h58wBUlM5Ush2\nAeblxauh6dOlncujR/NDw6LYnCU1atTAtdq1eVX12WfOjcsNqME05HEnsekFGafa9etEgYFEV6+y\no7hDB848fqZ1a9IDlIqt5IcCuhlbqL3v3aTntQqNtXAaN23alEqMHmfLc8n40gO8zaI/ptLj1MS1\na0SffEJ0663cAfDFF4kOHfL0qNQBbiBn8bVr1yjB15fT2O3N1WvXiPz9iQoLpfc3bEh0+LD0voUL\niR5+WNF4+vXrR2vWrFF0rBVFRUS33EI0Z470/tmzieSyhJcsIerSRXJXbGwsnThxgujXX4maNfN4\nBIZerychBBnKMQ5XzWvVawR+fuwL2L691DRkKletAxCOi6iBa9DhMuoXNTJ/oQkAgo3vDxw4gM+M\nkt/yXBM6AF0yM7HTYrWv9Dg1ERjIPRI2bODwSiIOoUxL44VPQYGnR6hRGQQEBOCEXg8KD7efKxAY\nyBm+cr6EiAj52uPp6TyxFGAugrdzJ2chz5/PjW8c4eMDfPEF1wqSSiYbM4ZL4xob8lgxbBg/LCR8\nhOZS1LfdxlEZ33+v6Hu4C51OBz8/PxR48AeqekEAsHloyxYueHb2rLXZUgcD/FEAAQNOo5l5e00A\nYy2uMXXqVPk+rtWQJk2AV1/lwnfPPMOCIC6O39sLH9eo+ggh4O/vj+Ju3bjypj3S0rihjRQpKfIF\n3YKDFdvX/fz8OI9gxQoOBdy0iTMD16xxnPkXF8eRQg88wLVGLPH35+ifESPKCixvbxYgjzxSxult\nHo8QwOuvc6MbD0cQ+fr6yudaVAJVRhD89RebJMPDgdjYFKQ3bgwDgH8RCgN08EIg9ogWsLQmPgfA\n3xhBdOLECXzwwQdISSk914QBwO+NGyMlJcW8TelxasfXl8u2//ADL54iI7ki6s03c/VQe2XrNaou\n3t7eKOzblx+29hgwQP6YO+6QrxTauTOrnQrHUlJSAhw5whrBmjVceGryZI4OcpQF3bs3P+wHDy7r\nvO7Vi/sTjBhRVqjcfjtPfpt9Xl5ePB6A7//IIyxo5MpcVALe3t7QezL8zxX2JVe8YMeWeuQI55kQ\nEaWkEG3dSrR3xw56pnVrCscZ8kY+hfr+Q76+xfR0qzb0ZWAgfRkYSKNataJxY8aYfQW1a9emq1ev\nms+1PG7vjh1l7qv0uKpGSQnR99+zeTUsjGjECKLNmz1uKnUruIF8BERENWvWpJzTp9lPcPKk/IHX\nr/MkkErCunaNKDiYKC+v7L6jR4liYhRNmieffJLeeecdopYtibZtK91RXEz08stE9esT7dtn/yIl\nJUTduhFNmlR2X2Eh0c03c4lbW65fJ0pN5WQ1IzfffDNt2bLF+tpduxLNmuXwu7iLqKgoOiuX3GcH\nV81rjwsA80Ds/GAMBi5bnJXFVWlXr+btOTl6qlGjhKKjr5Ovr4Hq1iXKzNTTtm3bzOWqCwoKKC4u\nziwM5hgdT3q99XFyKD2uqpKdTfTKK0SJiUTJyURvvEF0/rynR+V6bjRBEB0dTadPnyZ66CGrh6Ak\n999PtHix9L7bbydasaLsdoOBKC6OKDPT4VieeeYZWvDmm0Q1akgLlU8+IYqK4hLV9sjJ4Xt+/33Z\nfUeO8ENCqrT24cO8b/t2IiLq0KEDbdq0yfqYkyd5DMZjKpuYmBj+/3ISV83rKmEasqxEaplLsG+f\nDikpXrj5Zj8EBwskJAAHDuiQmppqLlft7++PKVOmmK/16quvIi8vDzqd9XFyKD2uqhIdzY3sDx3i\nsOzt27nsi6lCqtr6L2sow8fHh80f9kw/Juwd06+ftJ9BCDYPyVUEtcDb2xu+eXls0w8LK3vA0KHA\nl1/yvx9+KH+hWrXYzzB8OCfSWNKwIdcZevDBso7oRo24BvzQoUBhYampypK6dTnBbOhQZY5sF2Nl\nrvIAVebJZvITWOYSmJrVt2jBvquoKM6+tWX48OFITEwEAFy6dAnz53umnaWaEYL7AHz6KYdm33IL\nB2UkJnJI95kznh6hhjN4e3ujuLiYbeDbttnPEu7Th/sDSzmMbr+dHUxSDyknBEFQTg4/kOXo3Jlr\nkc+dyy39SMaJ3KkTMG4ct760da4OG8Yd0CZMKHveAw9wOr6x8oDkQ/eBB9iJLZOM5k487SOocoLA\nUiPYvbtUEAAcaiolCHx8fDBjxgzz5wULFuCsSuqMqJHwcK7yuWsXR++dOMEVPe+8k32HHly4aCjE\nrBEEBnL2r73ooZAQjjOWCqOMi+PX33+X3deliyKHsbe3N0Jyc3nVbo/ERBZIK1dyxyY5dXTsWG5o\nYduMRgiOIlq1qmwklBBctvbDD9E0P19aEJiOWbmSs6YrEU0jUEjbtmy2iImR1giuXuUHlFy3r3vv\nvRetWrUCAOTn52P27NmVNPKqixAcXbR4MZevuPNOXrDVq8cBH1J1vzTUgVkjALiLlyPz0MCBgE0G\nvpkePSTj8dGkCSenOKjv7+3tjdDz5+1rBCZiYli4/PUXR/vIPbA/+ojLV//vf9b7IiJ4n1RIaXQ0\n8NprGLd/Pwxy5p/ISGDJEuDhhyu1/ISXl5emESghPJzzCAoKWCMwPfSbN2eN7/Jl/n8/eFC6PIpO\np7N6+C9evBjHjx+vvC9QxQkK4t/W5s282Lp2jbU0U4XUGyhFo0pg1ggADgNdv95+05b+/YEff5S2\nj/foIZ20pdBP4OPjg/ALFxxrBCbCw3mS5eSwCUiqXkpYGKurTz9dtsxEt24cUvrEE2XPGzIE5wMD\n0eCLL+Tv37s3T+6331Y2Xhcg6beoRKqMIACA9u15ZZqVxaWZY2LYN+Djw4XXDh9mP4Fcb4u+ffvi\nlltuAQAUFxdj2rRplTf4akRyMvvVsrKAxx4DPviArQfPPy9tmtOofKw0gogIfmDLrfgBdsS2aiW9\n8u/UibOCpQSJAkHg7e2N8IsXlQsCgHvQrlnDQuD++6WFwc03sz9g8OCy+2fP5l6ntpqQEHgvJQX1\nv/vOftb1zJmcbFZJDWw0jcAJ2rVjv4CPD3e4M1p6AHA3rzNn2FckZx4SQmDOnNKWlp9++in2V9fO\n8ZWAnx/XBPvlF9bkAwN58dixo2oKO96wWGkEAEfDOCqwJmceCgxk26zUA79Dh9KqkDJ4e3sjIi9P\nmWnIEj8/jiYqLJR+2ANciTQykm2Vtue+9x43xbYRYJeDgrDvnnvsN7xv0oRtoZUUWKI5i53AVGoi\nLo7/bdmydF/r1jxf4+Lsr0o7d+6M3r17A+AS0y+//LJ5n5pKTlc1EhJ4EXbyJPDSS7wQq1uXS8tv\n23YD9xD2EFYaAcDmoW3b7Id/DRggHw0gZx5q1oxVcTvlbmsUF8Nbr2etw1n8/Nj5W1DAoaG299Hp\n2Cfw+ecc3WRJWhqbiSzCxwH+2xxOS2PTgb1+JVOmsIOsEgJLNGexE7Rsyf930dGlEUMmWrTg8iLB\nwY7NE5a+gq+++gpbt25VdcnpqoS3N4eer13L/Zfr1WMzb0oKsHChqlrFVmvKaAQBAcCgQRyHL0f9\n+ryS2rSp7L7u3aUfmoGBHNN95IjsZSPy8nAuNNRhJzNZTMLgyhW2RdquKqKiWNt5+GFuZG3J/PnA\n8uUcaWLE29sbxQAwaxabluQWffHxHJJaCYElmkbgBD4+vPL39eV5ZysICgp4rjmy9rRp0wb33HOP\n+fPEiROxeMQIvLlrFwbl52NQfj7e3LULi0eM0DSDChAbyyHZR46wuXXTJi5fP3RoaXVUDfdQRiMA\ngCFDOFHEHnLmoTZtgOxsaY0iOdnu6ivi4kWcCw6W3a8If382E+3fz60qbUlL4zyA0aOtt9esydUX\nR440azpmx6zpGfDll/L3nTiRBYmc49FFaBqBk7Rrx7bnK1fYHGEiNpYfLPYihyyZMWOGOVP4l19+\nQeSBA1Wq5HRVQqdjDX3FChYKqanAU0+VVkh1VHNMw3nKaAQAO3YvXmRVTQ6TILCV0l5eXLb511/L\nntO8uV1BEH7xInIqKggAdiB/8w2v/pcsKbt/5kzOd7AtlDdsGOdKGJtXmx+6Oh0wbx4waZK8aSsq\niiOT3BxYomkEFihpyN6uHS9KwsL4/9GEEByUsH+//cghE0lJSRg+fLj58/LiYmgLVPdTsyb79/bu\nBT7+mIV2kyZcJHLdOq3/squQ1Ah0Orazf/65/InJyWyKkVoAyZmHkpP5P1SG0PPncbZGDYUjd0Dt\n2pz4NmlSWZ9AYCCXqHjqKevOakKwXXL2bODKFeuHbvfubBKTEiwmxoxhW6cbVyyaRmCBEge9SRD4\n+ZXd16oVC4DkZMfmIYB7FPj6+gIAMg0GrLXYVxVLTlclhOCAk6VL2cHcqxf75ho04MWXgxwlDQdI\nagQAm4c+/1zeLi4ER8t8/XXZfSaHsa224MA0FHruHLIDA50YvQOaNOF+rMOGlRVAaWlcFmPcuLJj\n7N4dWLCgbMz+vHnAjBnyYW5hYcDdd/NkdROaRmDB0qWOHfT16vEclurhcMstwKVLQFKSsnj2+Ph4\nPPnkk+bPj/j7438BAVgVGIjRrVrh8aVLq2WhObUREsIm3K1beeF14QKbpPv0YR+hB/t1VFkkNQKA\nH4hRUfZLQ/TrJ92HICGBV2C2Hc2aNOE0c5mswuDcXJxxpSAAOEZ5/nyORLB9gL/yCquXtmUipk4F\nFkvTuP8AACAASURBVCxAcEmJtSBITeVViT2t4IknuIGHmx7WqtcIhBBLhBA5Qog9FtvChRA/CSEO\nCSF+FEKEypx7XAixWwixUwghUazEmmHDWDjbHw/7jaTqY7VuzQ7lmjWVJzZNnDgRNYxq64Xr15E5\naRLqb9iABTt2IFmF2kB1D3Ft3ZoTOrOy2Irx1lschmqqkFpZCCF6CyEOCiEyhRDjZY55SwhxWAix\nSwjRuvJG5xhZjQBw7DTu2JFVMlNRLxNCSJeb8Pdn80pmZtlrFRTA7+pV5Bo1b5fy0EOcVDZqlPX2\n0FCuGfT449ariMaNgX790HX37rJ/mxde4Aqlcg/61FR+sMh1c6sgVSGhbBmAXjbbJgD4hYiaAFgP\n4CWZcw0A0ogohYjaOrrR+PHAJ5+UnX9WFzQA+fns28nPt97XvDlv9/FRZhoCgFq1auH55583f162\nbBlatmypSk3gRgpxDQjg59Xvv3NRSlN11M6d+Rlm+3/vSoQQOgALwfM+GcBgIUSSzTF9ADQkokQA\njwN4z30jch5ZjQDg5Kw1a+SbWHt7szr23Xdl93XvLp1PIGceOnYM+bVqodDRapeIVwDx8Zy8dvfd\nbJv/7jv74WXvvMNJRZ98Yr39jjv4wf/OO9bbp0zBLbt3w9d2JdmhA8el28u+fvxxTlJzA542DSlt\nrlEPwB6LzwcB1Da+jwZwUOa8fwBEKrwHERG98ALRU0/JN2I4epT7R/j7S/fECA4mGjOGKCCAGw8p\nIS8vj8LDw83Na9577z1lJ1Yier2enmndmvT8syACSA/wtmrYMEeKwkKiVauI+vQhioggevppop07\nlZ0LJxp4AGgPYJ3F5wkAxtsc8x6A+yw+HzD9JkhiXlc2jz32GC2WazZDRNSzJ9EXX8jv/+ILbkpj\ny7lzRCEhZX9cU6ZIdw9bs4bO3nQT3S51LRPFxfyjb9aMaMcOoi1biFau5I5JTZoQ3XEH0T//yJ+/\nZw83njlwwHr7/v283abT0paUFNp8661lr/Pll0Tt28vf58oVovBw+x3fysldd91F//3vf50+z5l5\nbe9V3mVvLSLKMc7yswDkUgYJwM9CiK1CiMeUXPjFF7mW1MmT0vv37OHkpKIiQKpmXHw8+4+URA6Z\nCAsLwwSLGuYzZsxAgdxqyUPs3LkTaZmZN3SIq68v50R9/z0HtURFca20m27iBFAX9l+OBXDK4nOW\ncZu9Y05LHOMx7GoEAKtb9kpO9OrFJSVsVa+aNbn6o62TVk4jOHoUBbGx8maqa9fYuXvsGFc0TEnh\niJB77+WHwe7dXGTsppvY9i9lDm3Rgptm3HuvtZ+iaVOugWIT+vlH585otW1bWYfkgAEcurh5s/RY\ng4I4V+GDD6T3VwBPawTeLrqOnO52CxFlCyGiwALhABFtlLuIqQhcs2bAU0+l4dtv08ocs2cPm+u2\nbOFXjx7W+5s351BiU+SQ0vImo0aNwptvvons7GycOXMG77zzDl6wV4tEw6PEx7Pvb/JktlR8+CGb\nFgcO5OTTwsJ0/P57uqeHCQBWxQ3T0tKQlpbm9nvqdDr7PqSBA9m2fuEC1+qxJSyMH8jffVeaeGUi\nLY2lsWWxr3btON6+qIgltgkvL/hcuwaDXFbx3r38OnGCTVK2+PlxqOjgwbwKiI5m34Atjz7KkU7v\nvMMmJRPTpnH0yDPPsKkIwJXQUOxq1QodX37Z+qHu5cXC56WXgPR06UzoUaO4d8OTT3LVSxchhFDk\n80tPT0d6errL7mtGidqAsqYhsxoMNg0dUHCNqQDG2NlvVnfOn2fV/+hRKRWKW6g2b050551l97/x\nBpuFXniByNieWDGLFi0ym4ciIiLo8uXLzl3AjWimIcecPUv06qtEjRsTNW1K9PrrbMkgKpdp6AeL\nz0pMQ2ZzKcnM68pk5MiR9O6779o/6J57iN5/X37/smXSP7JNm9hkY9u4vksXNq9YcvYsFdWoQXf1\n6CF9j5ISopgYNuM4YtMmorp1ifLzpffv3UtUqxbRpUvW2+fOJRo0yPxx4sSJ9OrEiUS1a7MpynY8\nKSlEn38uP46JE/lv50LuueceWrlypdPnOTOv7b2UmoaE8WViLYDhxvcPASgTdCyECBRCBBnf1wDQ\nE4B81okFkZEseGfNKrvP1IymWTNORrIlLY1LqicmOl8S+ZFHHkGDBg0AABcvXsTrr7/u3AXciE6n\nw+NLl+K51q2xKjBQC3GVoHZtDh8/eJB9ert2sUZ4331OX2orgEZCiHpCCF8A9wNWaSYwfh4GAEKI\n9gAukdFcqgZKSkrg4+Nj/6D77mM7rByDBgG//Va2zWWHDmyise1a9vDDwLJl1ttq18b55s2RJpct\n6uXFZabt1UAy0bEjO5IXLJDen5zMTuJXX7XePno0xyYbTT56vR764GDOHRg92toZ7eXFWsW4cfL9\nGyZP5tpF69Y5HrNCSkpK4OXl5bLrOY0jSQFgOYAzAAoBnATwMIBwAL8AOATgJwBhxmNjAHxrfN8A\nwC4AOwFkAJjg4D5Wki4vj/08lg7hq1d5tV9cTPTaa0RBQWUlZFERkRC8mElJcVrA0ieffGLWCoKC\ngig3N9f5i7gRvV5P27Zto23btmmagALy8ogWLnR+5QSgt3F+HzbNXXB00EiLYxYCOAJgN4A2Mtep\n3C9sZOjQofTRRx/ZPyg/nyg0lCg7W/6Ye+4hkgqemDWL6IknrLdducLXO3PGavPGl16iQ+Hh8vfY\nupWoUaOyGoYUhw4RRUYSyf0uT55kc8Lp09bbP/6YqF07IoOBxo4dS/Pnz+fVf+vW0k7zYcOIJkyQ\nH8e6dUQJCfLaiZP079+f1qxZ4/R5zs5ruVeFL+Cql9QPZuZMoiFDSj//9Vfpw33jRiKdjn/otgQH\n87mBgcojh0yUlJRQcnKyWRg8//zzzl3AhWgPfdfhqh+Msy9PCYLBgwfT5/bMGyaGDCF6+235/V9/\nTSQVYXPiBD9wCwqstz/8MEf7WLDy88/pQkAAm26kMBhYEPz9t+PxEnG42LPPyu8fN45o5EjrbXo9\n0U03EX3+OY0ePZreeOMN3v7770Tx8UTXrlkff/o0C5wjR+Tvc++90pFS5aBv3770zTffOH2eq+a1\nqm0Kzz7L3fNMiYwmsxDA+SteXqzx2RIby8c6EzlkwsvLC7MsbFKLFi3CqVOn7JzhHm6knAEN11Nc\nXAxvKeerLfffb9881Ls3R13Y/pDi4zn7zzYD+eGHuT8AlZpbiomwISFBPnNXCI7GWb7c8XgBrkXy\n+efypa8nTOASFJa2Y52O2+pNmABRUFBqhuncmaOSbOvb1KkDjB1rv3nNG29wuJptpnU50Ov1HjUN\nqVoQhIRwAMD06fzZUhBER3MSoFSkV1IS/980a6Y8scySO++8E23bcv5bYWEhZsyYUc5vUD4MBoNW\nFlujQpSUlCgTBD168I9FbrHj68sPaVvbP8DROx99ZL2tUyeOHLJYoZWUlGBT48acCSjX3HrwYG5+\nrSSEslYt7os6caL0/ogItvG/ZJPn2qkT0L49btu50/pvM38+J7PZxqw//zyHr8o1r6lTh0PXnnii\nwjXVFf9/uQlVCwKAncbp6Vw511IQeHlxhNsff5Q956abODvZQS0sWWxbWi5btgyZUunzbkLLGdCo\nKIqcxQA/6AcOtK8VPPYYFwKzzQUYNIibTFjG4wsBDB9uJSBKSkpwMTycY7vX2vrcjSQlcTimvRpI\nljz/PPerlSqLDXC46O7dZbOgX3kFt+3Zg5CrV0u3xcfzw3zqVOtj/f25kcZzz0l3bQM4jDQ/X7k2\nI4OmETggKIiF+7Rp1oIA4AJ027eXFcZdu3JyUXkFAQB069YN3bp1A8D/SVNs2t1paKgZxaYhgM05\nH3wgX5G0RQvuXGZb9jkoiJOwbMtaDxvGq/vr1wFYrHYfecR+YbfBg5U/UAMDWUsZNky6PHRAAEcX\njRplrYU0aIDfGzdGW9vqquPGcW6Eba+GAQM4HG3xYulxeHlxgbRZs+T/fgrQ6/WaRuCIJ58ENm7k\nxYZl29MGDXibrfmybVv+PwkPL59pyIRlS8uVK1di165d5b+YE6SkpCC9cWNYTiutLLaGMyjWCAAO\nywwIKFut05JHH+WsPVuGD+cHsuVqLD6eM4SNq3+zILjrLjYZyRUT69NHWsWXo3t3YMQIbnkn9RDu\n14+TyN54w2rz182aIXbfPu7hbCI0lE1NtuYmIfh8e2Wqu3ZlO/aaNcrHboOnw0erhCAIDGTt1fbv\nFBfHr7/+st7u5cXnnDzJFSvLm7ndrl07DBgwwPx50qRJ5buQk2g5AxoVxSmNQAhu5mLs4CXJ/fez\n2SY723p758688rfNKTAJCMuxBATIF7MDuMz1iRPO/WCnTuX7y5UtXrCAfQAW9v9rOh0y7rqLtQBL\nAfbEE5zlvGGD9TVatmT/glxpCSHYHzFnTrl9BZpGoJDYWC6WaBklFBfHfgJbQQCwNrdjR/kihyyZ\nOXMmhDHV/Pvvv8fGjRslS0FXtDy07fnJKSl4c/t21N+wQdVlsTXUiVMaAcA1v9PT5VfrQUFcasLW\naazTscnHVlsYNIhrwJw+bT2WPn3YBCNFQADXMrJXftgWb282J731lrQ2kZDA/oKxY82bSkpKcLJb\nNzYpWSaF+fmxiWf8+LIP9IkTgddek3d29+/PDyg5x7IDNI1AIQcO8Nyy9OfExvI8kBIEjRqxua+8\nkUMmmjdvjiFDhpg/P/fssxjdpo1VWOfaFSsqFOopFyqq0+mQmpqK1NRUTRPQcAqnNAKAH/QPPsjN\nV+R47DF+4NsudB56iBvAWzpgAwO5lPRnn1lHxPTqxQJH7oHasKF8WKgccXHse3jwQeDcubL7x49n\nZ6Kxl0BJSQm8/PxYixg/3loDGTyYH+i25ahTU9lX8vHH0mPQ6fhaFkEmzuBpjcDjiWSmFxwk3iQn\nc0JZfDzR5s287fffuWpsYCCXKLbkxRc5M7k8NYdsOXr0KHl7e5uTzL6zqPdTDNDAgIBy1wDSaghV\nDrjBEspSUlJo+/btzp20bx9RdHTZH5MJg4GoZUuiX34pu69fP6IlS6y3bdxIlJREM2fMoEmWiVdt\n20pfg4hoxAgie+Wz7TF+PJfXlsoi/fprro9UWEj9+vXjLF6DgahTJ6KlS62P/eEHLlhVXGy9/Y8/\nOJvYdruJoiKievWI/vzT6aEnJyfTnj17nD7PVfO6SiwzCwuBo0e52OHkyZxPArBGcPYsLyJ277Y+\n59ZbuURK06bljxwykZCQgJEjR5o/TwbMjtzdAO4vKCh3qKcWKqrhDpzWCABWn5OS5J2eQrBWIGUr\nl3Imd+wIlJQg+sQJ67H06SNfp6dhQ/6xl4dZs9hfIFWkrF8/zkJduLB09S0E1yWaMsW6SU/Pnmyi\nstUKOnVi7WPlSun7+/iw32HuXKeH7mmNoEoIggMHeH74+bEP6uhR9ufExnIj+7Zty5qHTOb00NCK\nmYZMTJ48GX5+fgC4eNKqil+ySlHdW2RWN5z2EZhw5DR+8EFO97cN2ezblxuEWP7YhACGDEHTjAzr\nh1zfvu4RBN7enA/x/vtlW0oKwa0o585F0LVrpePp0IFLaL/1lvWx48axk1nKVzBnjnyo6IgR/DBy\ncvWp+QgUsHt3af6Ajw8L8ClTWDCEhPBCxlYQ1KnD/595eRWLHDIRExOD0aNHmz+/DKAEQCsAXwQE\nlDvUsyqEimrlLqoe5dIIAI6bz8ws23jGRHg42/5tV//e3rxKs80TuOceJB84AG9LH9dNN3EDmBMn\nyl6/IoIA4KS05cs5v8A2WzopCXjoIQzPzLT+28yZww/9CxdKt/XvD1y+XDaCqGdPdmrb5iGYCAj4\nf3vnHR9FtcXx302FJJAQEmpCD51QlCZdAbGgUkSQJwqKIN1GMUhHwQbysIAdEVFQFAtFxFjwKV2K\nhE6oCSWhhhSS8/44O7szszO7s7uzm5Ds9/PZT3bvzM7c2czcc++pzuMlNCjsgLJCtw1ILzjQpT7z\nDKcUl8jLI0pIIPr5Z6KmTTl5YEKC/fdiY4mGDWO13cGDjnVtRrhw4QKViYiw2gqeCgmhUU2b0rfL\nltHoZs1oZVgYrQwLo1FNm9IedZ5zB+zZvt2j73uT4mLDQAmzEVSvXp2OHDni3pdnzCB67DH97Tt2\nEMXF2evKDx7kh05lY0iLjqalo0Yp9x04kEirXkJGBqcVNpKJ1BFz5hC1bWvfx4sX6XxICG1VZ1Qd\nOpRo8mRl26JFXCZTzcqVRO3a6Z/7wAGui5Cba7i71apVo2PHjhneX8Ks+7rQBYC1Iw4emK5diX74\nQdm2dCn/L+65h2jVKs44euGCcp+WLTnz7F13EbmR4VWTWbNmWQVBxYoV6Zola6GnmUKLaqbRrVu3\n0ldhYVYhIL1WhoXR1q1bC7t7hilpgqBKlSp04sQJ976ckcGZRVNT9fdp396+CA0RUefORCtWKJrW\ntmpFWzt3Vu63dCnRffdpHzs6mig93cVOq8jP54Fj5ky7TbNq16ZLjRvzPhKHD3O2UXk646wsLl6z\nd6/yAHl5RFWrEv3zj/7527fngckg7v6/zLqvC9FfyTjq1BIAx7fMns02gDNneLW5eTMnS5RITGS7\n1+DBrLq8/37P+zJ27FgsWLAAZ8+eRXp6Ot577z2MHTvW6urpLp58v6CgwGpYbt68uU9cTYmAvDyB\na9eAvDzbKzdX+Vn98mS7J98tabhtIwBY/TNkCOfZ0SsCM2oUsHAhRwvLefxxjjXo29fatK1mTYz6\n6Se+aaTyj3feyfaInBzW8cqR1EMV9EqhGyAggPvRogUPCrfeat30ffnyGHvlChfDGTiQG2vV4trJ\nb73FpTEBVvOMHMm/g1zVExTERvN33uGXFlKRHllAqiMK21gsWKgUPkII0upLejp7/ly4YF9C9Msv\nOTvpoEF8j4WGKutUL17M6SneeYdVfY5qdbvCggULrPaC2NhYHD58GGXKlDH0XSLOX2XWoJh6+DiS\nP1mGWmczkY9gHCxfCc3v64Oo8pVNGnAJF86cR+kbAnkIRh6CkYsQ5CMIQUGE4GCB4GC23YSEwPpe\n6+XJdk+PnZAgQEQ6hXO9h9597W2io6Nx8OBBlNeqR2yE06c5Sdz+/RyVqSY3l71w1q/n/SSuXWMv\njv37OaoTwPBhwzDnm28Q9cMPigEZrVuzft6S08vKgAE8KMvid9xm+XIeFLZv59gGALfeeiuWPvkk\n6s+Zw6mqpRrLKSkcKX3kCMdVADzw1KnDM0l5jeJTp/i6jx8HtJ79K1eA+HjF7+CImJgY7Nu3D7Fa\nv7UDhDDnvi7yK4Jdu2w1stUDVrt2bAROTrZlse3Z07Y9K4sHgX//5SSJX3xhziw0O3sYSpV6HdnZ\nx3Hu3Dk0bPgmKlSYbOj7N25wCgwzBsWgIMLW77eg44UyCEEpBCMPVdMuY+O336LnqCcREhJgwoAr\ncGR/GpY9OxYdDqcgCLn4I6EGRnz0Hhq3KBrGbD/2eLQiANjb4sEH2Ztm5kz77SEhwLBhPIOWz4rD\nw9nQunw5l4EEcCM/H8duuQXNVq5UCgLJjVQtCOrUcT2oTI/+/blmwvjxvIIB/zbXW7YE6tVjV9iR\nI3nf+vWBLl04wZwUiVy+PK8a/vtfZbBY1aqcY2jpUp5tqilThlcDS5cqopr18K8ILAghqHZtshtI\ns7J4sC8o4AFUPXBlZXFAY82a7ISQmGjbRsSZahs1YmHQu7f9QOfuLPSXXz7C/PlDAADh4WXxzTdH\nEBtb3tD31Ssbd9m2bRtSO3ZE76wsRftXYWGo8dtvHqmq1BSG+slMzJo5uXHeQlkRlCpVCpmZmShd\nurT7Bzl8mGftJ09ySmY1Z86wy15qKrvvSWzYwO6X27cDQmDQoEHoW6cO7vvwQz6m5B2zdSvXTT5w\nQJlIbNkyjuBdt879vsvJzORBwLJ6adSoEZYvX44mubkstFJTWd0DsIviXXdxmyRIpd/h2DHbSgHg\nFNhjxnAKA63n4fffWVX277+24+sQERGB06dPo6z8dzSAafe1GYYGM14A6MABoqNHiU6eZFtRRgbR\ngAFcMlXPfrpnD1FoKNtl4uOVNY4LCnjbU0+Z5zkkkZeXR/Xr17cajsePH2/ewQ1ihiG3qBqpzQYl\nyFicl5dHgYGBVOCp5w0R0e23E335pf72Bx4gWrxY2Zafz6UnLSkAevfuTStWrOA0AF9/bduvoIA9\nPtQlNbOziWrWJNq40fP+SwwdSjR/PhER1ahRgw4fPsztLVtyJLGcDh2IvvpK2danD9GbbyrbCgqI\nbrlF3yhcUEDUqZN9xLXdbgUUEBBAeXoRyw4w674udAFg7YjOA9OsmeNSppcuEZUqRdS4Mf+vPv1U\nub12bY5oN9NzSGLFihVWQVCqVCk6pS6Y7WU8de2U3Fa/Cgujr8LCaHSzZkXGbdVsSpIgyMjIoMjI\nSHMO9tFH+t49RETffccPmJrXX2cXUSLq3r07rVmzhv28O3ZU7vfTT5z6QZ0W4osvuEC5WZOT5cuJ\nevQgIqLY2FhKS0vj9gULrP208umnRHfeqWz73/+IatSwd0f96iuuhawndDdt4hlqdrZu17Kzsykk\nJMSVq7FSIgRBbi5R6dL2daXVRETwPfOf/xCp3ZV79iSKjDQn55Ca/Px8atGihS2u4KmnzD2BAdyN\nQSgu8QFGKUmC4NixYxQfH2/OwS5dIipblujsWe3tN27wclu9As3IIIqKIkpPp9tuu43++OMPfqDj\n44m2bLHtp7cqKCjgOICPPzbnOi5f5us4f57CwsLoypUr3H72LA8Qly/b9s3K4kRlahVC+/YsUOTk\n5xM1aEC0bp3+ue++m2jhQt3NFy5coKioKBcviCkRgmDPHs795Iz69Vl9VKMGC2c5SUmsHtIS/Gaw\ndu1aqyAICgqiQ4cOmX8SJ7ij3iku8QFGKUmCYPfu3dSwYUPzDvjII0Svvqq//eWXiQYPtm9//HGi\n2bMpMTGRdu7cyW1vvMFLdzl6q4K//iKqUkU5SHtCnz6Uv3gxCSGUz8m999oLnAkTiMaMUbZ98w2r\ngtSz/yVLiLp00T/v5s0cd3D9uubmEydOUJUqVVy4EBtm3ddF2uKnFT+gRVwce7JVrMjfsVTIA8AF\nisqUYVuUp8nntOjevTs6duwIgL0Rpsn9V32EP121HzmXL1922ejokOHD2ZNGL7/O448DX3/NWR7l\njBwJvPsusi5fRoRkZB06lH25U1Js+91xByd5U9dNbt0a6NZNO4mcO/Trh4Lly1G6dGnlc/LII8Cn\nn9r3/dNPueatRM+e7BaqTjvRvz+7nGrlwweAli05+ZlOYZtr164hPDzcjQsyjyI9ahgVBFWrslvv\n7NnskSOvQJeQwG3XrpmTc0iNutD9Z599hj16eVqKEDdDjiM/7nHlyhXDcS2GaNuWffD1SlnGxvIg\nqS5a07w5EBeH9hkZNkEQEcGD7Cuv2PYTgn39Z8ywf0DnzOFgrv37Pb+Oe+5BwJYtqKb2pOrZkz2c\n5AVx4uO5FKb8mgIC2BX01VeV3w8OBp57Dpg7V//c06fztciznFrIyspCmCXGobAoFoIgLo7/h7ff\nDkRHK92aExLYvTQlhQMVPalWpke7du1wzz33AGBV2+TJk80/ick4KocJwJ9p9CbGdEEgBK8K3n1X\nf5+RI/nBU98vzz6LEVeuIEI+4x09mkP+5Unh7riDH1D1qqBSJS4DOW6c22UgrYSHI6tjR/RSt5cu\nDTz8sP31jR3L8QNy4fTII1wmUZ3SeMgQDlbat0/73C1a8MpAo/BPVlZWoa8ICt02IL2goUuNiyMy\nkjfr7beJnnyS30+YQBQebsv3VFBgMyZ7w3NIYufOnVZbAQD666+/vHMik1HbF4qrJxFKkI3ggw8+\noMccJY1zh0uX2Pir5xlXUEDUogXRmjWK5hs5OZQCUMHPPyv3f+YZorFjlW0bNrBRUG0ryMlhG8Lq\n1R5eBNHR11+nv8LD7TekpHCiOLkeX3IPVZ93+nS2f6iZOdN5sr7KldkYLWPdunXUtWtXF67Chln3\ndaELAGtHVA/MhQucSM6I7XP1ajbMExH9+y+7k77/vm17ixbc9uyz5nsOyenfv79VENx+++3eO5GX\nKM6eRCVJEMyfP59Gjx5t/oGffFIziZuV99+3y9Z56dIleqpUKaJu3ZT7njxJVK4c0blztjbJg2jp\nUvtjr13LvuA6Blej/PXLL3Q5MJDozBn7jXfdZe/zv2QJ0R13KNvOnmWhqPakkpL1HT+u34Fevdhg\nLmPVqlV0nyMXXQeYdV8XWdXQ7t1cItSI7TMujm0EAEeNBwaySi43l9vq12cVZ4UK3jEYS8yYMcOa\nU3zjxo34+eefvXcyL+CvllY8uHLlirnGYonhw1m1oWdoGzCAQ/ll+tcrV67gh6goVpls22bbt2pV\nTlinLggzbRqntFCf4847OTrYUdEcA1y5cQN/x8QAX2mUlho3jpPskUwF1a8fDxrygSM2lvuuVvPI\nk/XpMXUq2xhkmRBvCmOxEOIDIUS6EGKXrK2cEGK9EGK/EGKdECJS57s9hBApQogDQogJrnTMqH0A\n4HtKsvMEBLBtKzYWsKi7Ubcu/48A7wqChIQEDBkyxPr5hRdekGaFPsdfUazkcvnyZXNtBBLNm3Pi\nNb3qYmFhXMj+rbesTVevXkVomTKcHXLOHOX+48ezXUHumXPHHZzfR6sc5NSpwBtv6Be+N8C1a9fw\nV7VqnLFSTbduPEAnJ9vaQkNZAMoFFsD2g7ffts02JZ5+GliyBDh/XrsDTZuyi+Patdamm8VY/BGA\nO1VtEwFsIKJ6ADYCmKT+khAiAMBCy3cbARgghKhvtGOuCIKYGPbqkgzyrVvz7z17NruSJiRwqo/L\nl73jOSRnypQp1pKWmzdvxrd6lYy8iLsVxVz1JPILm6KJ6cZiOc6Mxk8/zZ42Z88CYEEQERHBIeCl\nTAAAIABJREFUbqPJyUrvn4QEHnzls3xHq4IWLTi30Wefud39a9eu4UDNmjzAnD6t3CgE5w5Sp94e\nPpwFh7yCWZMmrGpYuVK5b5UqnL/o44/1O6GqYFYUjMVOBQER/QEgU9V8P4BPLO8/AaCVdLsVgINE\nlEpEeQCWW75nCFcEQUAA//7S/1XKk9WsGbvuJiSwQDhwwHueQxJxcXEYKWUzBJCUlIR8b0oeFQUF\nBVg0ZAjm79yJ3llZ6J2Vhfk7d2LRkCFOB2tHnkTq+AR/+cqii9dUQwAnidu6lZOzaREXxx44FvfQ\nq1evslCS3EbVrpdJScC8eezfLdG1Ky/htWbtEyfysd2ceFy9ehWhZctyZtBPPrHf4ZFHgD/+4LgA\niYoVuZiJOg5g3Djuu3rVP3Qol/LU0wb068dCMS0NAAunwl4RGDV4VQewS/Y5Q7U9Q+M7fQAsln3+\nD4AFDs5hNYDcuMGePxcvGjeatG9PlJzM79PT2ZazdSsb6U+fJgoLY8cDb3oOSZw7d44iZCUtlyxZ\n4t0TyvBFIjpXjcpFIbEdSpCxuGfPnvSNN2/yBQv4QdLj1Ck2BJ85Q9999x3dLXlynD/P7Wpjau/e\ndgZUWreOUzeoPYgKCjh9gDx5nQu88cYbNHbsWE5bEBurHbU8fjzRuHHKtu3b2Y1RXn4yP58N2Js2\n2fexQQOi33/X78jgwUSvvEJERElJSTRjxgy3rses+9osY7EpivBp06Zh2rRpGDduGiIikhGpaXnQ\nRm4wrlABiIri1Oht2nAhorAwziJbr569C7DZxMTE4FlZDvKpU6ciV61LLASMqnKcRSq7YlQurJVD\ncnKy9X4qjGjvwsSrqiGA6xCkpCh16XKqVOFqUXPn2lRDAOv+n3jC3lYweTLw2mvKlADdunH5wRUr\nlPsKwauCOXPciiuwGmYbNeJC9FoV2EaOZD2/3HbRvDnnul+1ytYWEKCtShKCr1MnkhgAG5U//BAg\nKhLGYndXBPsAVLS8rwRgn8Z32gBYK/s8EcAEB+ewSrmVKx0nPNTi2WeJ5s61fX7oIU4f8s8/XHa0\nVSvObDt1qndyDqm5dOkSlS9f3roqeOutt7x/UtKfrT9Sty6NatrUlPgAo6uOouSOihK0ImjRogVt\nkSd28wZLl/JDpZd18/RponLl6LNXX6UhQ4bY2s+e1a6HfO+9ROpn5Pvv2fdbfY4bNzje4JdfXO72\nxIkT6SXJh/zAAU4uJ69TLNG/P9FrrynbvvqKE+HJuXxZ+3qkZHZaxybia6pXj2jTJnryySfpnXfe\ncflaiHy/IhCWl8RqAI9Z3j8KQMsiugVAHSFEdSFECID+lu85xRX7gIQUXSzRpg2n/khMBDp14spg\nsbE8GnnTc0iibNmymDTJZkOfOXMmrsn1oF5CS88/JjERpQC8+c8/LtsNtHBkVG7atKl11bFt2za/\nO2oh4PUVAcCuojk5yhmynMqVgcGD0WD1atuKAOCHcOhQZbUvgFcFc+cqvXDuuou9QDZtUu4bGMiF\nb9QrCwMoZt8JCZxe4o037Hd87jlg/nxlwev772dD5JYttrYyZdiuoDagx8ayy+uyZdodEcK6KigK\nxmIjM5plAE4DyAFwHMBgAOUAbACwH8B6AFGWfSsD+F723R6WfQ4CmOjkPFYp98ADjmthaLFiBasa\nJf78k6OJiYj27mWbw223EY0ezamt1apHb5CVlUVVq1a1rgrmzJnj/ZNakOvlN2/ebHqmUa30198u\nW6aISn6obl1aUaqUqed1FxicOVnu7fWW+3YdgEiNfeLA3nJ7AewGMMbB8Xx6nURElSpVotOnT3v/\nRGvW8KxWr6BKWhpllS5Nc9XBbefO8Sz62DFle7duRO+9p2xbsICob1/7Y2dnc2bS3btd6vLgwYPp\nfXm06ZEj3Bd5YJtEly72BU5efdVepfDvv0SVKintB0RE69fbBiEtzpwhioqiAT170sqVK126Dgmj\n97Wzl8+XyrodkT0wtWpxxLcr/Pmnsj7G9etsIJZqGbRvz6nQu3c3v1qZIxYtWmQVBOXKlaNMvaWi\nF/FWymm5sMnLy7NTA+UB1Kt06ZtKNQRgLoDxlvcTAMzR2KcSgGaW9xEWoVFf53g+vU4iUubb9yYF\nBTxYqiuUyfilVSvarlW4ZtIkrhom57ff2Pgqn6XpqV6IOJ+Mi5UB+/XrR59//rmycdgw7eP8+CNR\nYqJSNSXVWVCn2ujQwd6AnZ/PufG3bdPv0H330WuNG9OPP/7o0nVIFFtBcPkyD+CuztiPH+eU33Ju\nvdVmuP/6a6LAQLYX+MJzSCI3N5fq1KljFQZJSUm+ObEMX+jq9YTN/NBQerxuXZcL55iNC4IgBUr7\nV4qB73wD4A6dbb67SCK6ceMGBQQEmFOm0gibN/PMXEfwPD9kCGWFhytryBKxB1F0tDKZmFSMZsUK\n5b7jxmkP1Lt28ezOhXv4nnvuodXq3EHHj7M3k1S1TN6fxo3ti86MGEE0ebKy7dNPrRXQFMycSTR8\nuH6HvvmGdpQtS7/++qvha5BTbAXBn3/aF5cxQm4uUXCwcpU6cqTN3nP5MguCkBBu92bOITXLli2z\nCoLw8HBbmTwf4m4lM6M4WnVs3rzZkPuoN91MXRAETl2jVdtrADgGIEJnu6nX4YyLFy9S2bJlfXpO\n+s9/iF54QXPToEGDaFuvXmx8VZOUZJ+8bdUqriMsF2SHDhGVL0909ar9MZo0sfmNG6Bz5860UasW\n8qhRXMZQzccfE6kTwv37L88oc3JsbVlZ3MejR5X7njjBQkavzGJODmUGBtLO774zfA1yiq0gePdd\nIrmTgStUrsy/u8SSJUQPPmj7XL48C4MxY3zjOSSRn59PiYmJVmEwRl35yIf98NZAW9TrJ8sfGAA/\nAdgle+22/L1PQxBcIP17NgLAVgD3O9jHtGswwvHjx6mqemnsbU6c0E221rt3b/p6yRIeOP/5R7nx\nwgX+nnzwzM9njyD1YN2zp71XERHRnDksiAzSsmVL+vvvv7WvoVw5++ClnBxWNezapWzv0sW+bOXY\nsfYrBSJeKahtDTK+iIyktKefNngFSoqtIBgxgmj+fLd+E2rZkqvbSezfT1Stmu1zhw78uXVrombN\n3DuHu3z33XdWQRASEkLH1IayYoArqw5n9gW5EDFDgLmwInDqGm3ZFgRgLYCxTo5HU6dOtb5+ccPl\n0RV27NhBiYmJXj2HJqNGsW+2is6dO9PPP/9MNHu29gxvwgReosv5+GMuci9fFeipoDIy2C/coHdJ\nnTp1aP/+/dobIyNZOKkZMoRnqHIWLSJ6+GFl2+bNbDxXs3y5fQZTGT2ioykvPt6QPvyXX35R3E/F\nVhC0b28/GTDKAw9wDIJEQYE1wJGI+P/ZsyfXMC5VyjeeQ7a+FFDbtm2twmCwVo3XYoCRQVs9+3fk\nXfTl0qWmrBRcNBZPsLzXNBZbti0B8IaB47ncV09Yu3YtdVOnfPYFO3bwLEv1UDVu3Jh27dplS918\n/rzye2fO2Ovn8/J4VbBhg3LfgQNZcKjZupXjAQx4mJQrV47Oq/tAxPUWwsO14yJefdW+dsKxYxyZ\nLL/HCwo4+vjff5X7Xr/O6gidyV9oaCjdaNXKrWjpYikICgqIypbV9uQywqhR9quJO++0GYZffpkD\nzSpU4PP4ynNIIjk52SoIAgIC6F/1DVMC0FIhbQZomRB2guDL0qXp8bp1TTFyuyAIouHENRpAOwD5\nAHYC2AFgO4AeOscz54czyJIlS2igL/Weclq04LoBMipWrGhzZR00yJpWQcFTT7EXkZzPPmN/b/nA\nfOYMD747d9ofY9Eiovr19QO4iA3pgYGBdENrBrhnD39fi++/Z3dDNfXqsRCSM2oUr37UjBjBBW1U\nZGVlUWhoKBUsW0bUqZNu3/UwSxAUqXoEqamcmyomxr3vy9NMSLRubaspnZDAUeNXr3KmUnWcirfp\n1KkTunfvDoDTPUyZMsW3HSgCaKWnuAXAGsAuQO2r+HjcdfKkTwPSiCiDiLoSUT0i6k5EFy3tZ4jo\nXsv7TUQUSETNiKg5EbUgorWOj+wb0tPTUaFChcI5+RNPKLJqEhEuXLiA8uXLc8OoUZxpVJ2E8fnn\nObf/pUu2toceAjIzgXXrbG2VKgEvv8wBaepjDB3KAWhSEJoGFy9eRNmyZa01QxQcPw5Uq6Z9XYmJ\nwI4dPBWRc+edyv4BQK9e2kF2Q4ZwRlJVAGdGRgbKlSsH0bcvcOgQsHOndh+8TJESBO5EFMuR1yWQ\nkCKMARYEx45xXeO6dR2nAvEW8kL3K1euxDZ5sY4SSgCAW0JC8GTduoqsp72nTFGEs/txztmzZ1Gx\nYsXCOfmAAcD69dZc/BcvXkR4eDhCQkJ4e8uWPJiri8LUrMkDuDwddWAgp6KeMEE56A8ZwonDZDUP\nAHCk7uuvA40bcxpojSLxCqGk5vhxLlivRXw8Jy5LSVG2awmCjh05vfHx48r2Fi14lvvrr4rmzMxM\nREdHA8HBwIgR9nUPfESxEgRaK4JWrThrbn4+UKcO/48aN+aVwpYt9inJvc0tt9yCPn36WD8nJSX5\ntgOFjF56isMNGuDdvXtR47ffUOO33/Dm9u3oO2CAS/UR/LAgKLQVQVQUp2z49FMAwPnz5xGjXt5P\nngzMmmWfRnriRE7eJh/Ae/fmdNTvv29rEwJYtAiYMcN+sBWCUz1UqcLfVRWwcSgITpzQXxEAnKdG\nNYijUydg+3ZlcrqgIE5Foa5TIAQweDDXapAhrQgAAE8+yauJc+f0++ElipUg0FoRlC/P2Uj37eOJ\nRPnyQPXqLIAjI3ml6Wtmzpxpzeq5bt06/Kq+wYoxjmoeBAUFKbKeulIfwQ+Tnp5eeCsCgNU/lhw9\n586dQ2xsrHL73Xfzw6cu2NSoEc/OpLKCAA+e8+dzZbJMWUmUevW4QtjIkfbqmsBArjNQujTw4IOK\nOgdOVwSuCoLwcO7zL78o2wcM4JTHav7zH2D1aoXgyMzMtAmCmBgugSkXfD6iSD1NZgiCU6fs7w21\nnSAykgsoXbnCOaFOnHD/nO7QoEEDDBo0yPq5MEtaFgaNmjfH/G3bFLP/RjozfFf29VPIKwKAH7aE\nBGDpUu0VgRDAlCms9lHf80lJnEguK8vW1qwZF5GZPl2574QJvLzXSuoWFAQsX84rlI4drWqCjIwM\nVsOoyc8H9uwxJgiM2Am6dOFB5eBBZXtsLG+TFdxRCAKA7SwffWR/Hi9TpARBaioLe3cJC2MhLa8o\nB9gLgqAgVvdVrAj07cslLX3NtGnTEBwcDAD4888/8cMPP/i+E4WIs5oH7u5b0ilUY7FEUhLw8su4\ncPasvSAAWIdfUACo7/lWrYDbbuPaBHJmzuTylPJCIiEhXDPg6ae1Z3IhIbwy6NuXB4Bt27RXBES8\nsoiKAtq107+mmjV5tXHokLJdSxAEBvJqZPly++Oo1EN2wql1a65z8L//6ffFCxSpp6pePf7/eYKW\nekgtCK5c4clE/fpA+/Zc++LYMc/O6yrVq1fH8OHDrZ+TkpL8dX/9eAQRFf6KAAA6dwZiYhC9caO9\nagjgVcHkyaznV898585lW4Hc2Bcby8Ll6aeV+7dowSqiwYO1S1cKAUyaxMfr0QPVf/4ZMfLZNwC8\n+CIbEb/5hgvV6yEEry7U6qEmTdiucfiwsl1SD6mv7667eKVgKYVptyIQAnjsMcc1j71AkRIEnqiF\nJLQMxk2bsiC/epUFwZEjQO3abDs4cYKN9bNmeX5uV0lKSrLWKt21axe++OIL33fCT7Hh0qVLKF26\nNEqVKlW4HRECSEpCyw0bEKOnk+/dm/X36tl0jRpsNFU7UYwcyXr8775Ttk+YwMdZuFC/P336AOvX\no+nWrRj5zjvAF1+w4Jg3j2eBa9YARmo8a9kJhOBKZ2vWKNvbtmUV165dyvbgYF4tWFRadoIA4PoG\nK1cqVWReptgJAq0VQWgoC+5t29ht9OBB/hwayqvNZ57hCYF61edtKlasiHHjxlk/T5kyBXnyQhh+\ndDFadrMkUeiGYjl3340bN26ghZ5bXkAAz8anT7efNU+axAJC7lodHMyD/ejRPKOTCApiL6WZM9kj\nRI/mzTGpQwf8M2QIC4B69fjvTz/xisMIenaC3r21S2r2769tNB44kFVdRDb3UTlVq7Ka7JtvjPXL\nBIqdIFBXKpOQ1EO1arEtomFDXtHt3cseamPG8L3ka55//nlERUUBAA4dOoSPfbwkvBkprDrIRZ0i\noRaSEALLatTALWvX6hs+H3yQH0L1SrhsWVYbqVVBd9zBaqcXX1TuX6cOP7yPPKKsKKYiIzMTeV26\nsP79rbeAjRsdG4jV1K3LFdTUeuQ77wR277b3RR8wgO0E6utv25ZdW3fsULqPyvGxeqhYCgK1agiw\nCYJSpTimpUIFIC0N2L+fnQbGjgV+/NE+ZsTbREVFYcKECdbP06dPx3WNYBg/TEFBARYNGYL5O3ea\nUnazOFEkDMUyvg0KQqnsbJ51axEYyAPyc8/ZRwMPGcKRxurgs9df51m2OhBz2DCe2TvwB7caiyV1\nTp06rl2QENrqodBQjp9Qxw4kJrIHi9rwKwTw8MPAZ59pq4YAjkXYutVnLo1FShCYsarVUg0B9gbj\n0FBeSVaowIbjyEiegMyY4XkfXGX06NGoVKkSAODUqVN45513fN+JmwStFBX+OshMoUYVa3D2wgVk\nvvACxxZkZ2vv1K4d0K2bvXtoYCAbeZ95RikkYmKAV17hlBI3btjahWD/+4ULOchLA4dxBEbREgQA\np8RQr2yE0I8pGDgQ+PxzXNJzaS1dGujXzxqc522KlCAQJuQT0FMN1arFq7GTJ1kQXLrE91fdurZi\n9qNHAz//7Jvi9nLCw8MxefJk6+eXXnoJl+XRin78GKCorQjOnTuHsIce4pmxI2+MuXPZFXTPHmV7\n586sDlLn5HrkEc4T8+abyvaqVbkQ/aOP2kUVA14WBF27snpBPYMfMIDjBuRCCwAaNAAqVUKD9HTt\nFQFgczX1QUxBkRIEZqCnGhLCtipISGDDcOPGfD9JA3+ZMrxKnTbNp10GAAwdOhQ1atQAwDfsvHnz\nfN+JmwC9FBW/1q2Lpk2blmgDclGyEeTk5CA7OxuRkZGcP2fRIvuBXqJCBX7otCKFX33VXhUkpZJ4\n+WV7ff3AgfyAqx7i7Oxs5OXlITw83LMLa9iQZ5DqAT8khAPfZMFiAFj9VK2affQxAHr4Ydx35Yq+\nIGjVio3hPogpKHaCIDKSha9WAkK5IDh4kCcqQUHKOJWRI4E//gD++cd3fQaAkJAQTJctj19//XWc\ntyTv8mNDL+1E1/Hj8UzLliXagFyUVEPS7FsIwbl/Zs5kdY6egB42zBbqL0dSBT35pHJWXacO63JH\njVIKD0lIfPQR8Ndf1uaMjAxbfzxBL54AYFWOWhAANqOxims9e+I+IoTo/SaS55HWMc3GjFzWZrxg\nYt72unWJ9u2zb1+3jgsfpaQQ1apFtHAhF7NRVyubN4/bfc2NGzeoYcOG1poFzz77rO87cZPgSoUz\nIvPytrv6MvO+dka7du3cLoJuNjt37qQmTZrYGvLzidq144dOj7/+IqpUyb54TUEB0e23E73xhrI9\nJ4eoQQNlNSqJlSt5ILh+nYiIdu3aRY0aNXLzalS8+aZ2tbW8PK6XcOSIsv3kSS7JmZ2taE5NTaXf\nQ0OJVqzQP9fevVwqU6f+hln3daELAGtHTHxgunQh+ukn+/bMTKKICK4jHRLCBZBatiQqXVpZWCkr\ni397dc0JX/D1119bBUFoaCidkBdh9qPJ1q1b6auwMKsQkFc422r5J5YEQZCQkEApBqp0+YINGzZQ\nly5dlI1793KlLo3axlbGjtWuQbx/P383NVXZ/uuv/LBeumT/nd69iV58kYi4xGPHjh1dvAodDh/m\n6lZaBW6GDeM6ymo6drRVyLKwY8cOerFqVaJevRyfr2FDok2bNDeZdV8XO9UQoG8wjopie9LBg7xP\nmTLsLip5DkmULs0xLVOn+q7PEg888ABatmwJgPWsMwsjuMHPTUlRMhafO3fOPs9Qw4bAuHH6KSEA\nTvy1aRP7csupW5d9vNWqoI4d2Y9fHVsAsG3inXeAvXvNMRRL1KrF6q4//rDfpuU9BGiqhzIzM7G9\nenX2UHHkHNK3r71rqskUW0GgZTAGlHaCs2c5dqVmTXtPoSee4OhwmZrRJwghFMVrPvjgAxxUZzH0\no8CRAbmk1C3Izs7G9evXrcGJhc358+e18wxNnMiRwfIiNHLCw7li1LBhyoplAKeTOHQI+PprZfsr\nr/Dgq44tqFqV/cGffBKZ589ru2m6S+/e9jEOAAum06ftM4/27ctpKGRR0ZmZmQiuUIG/s3q1/rke\nfJAFgRcdIIqlINCLJQBsgkCeaiIqyl4QhIZyupPCWBV07doVt99+OwAgPz8fUwujEzcR/roFwJkz\nZ1CpUiXPjaEmkZaWpr06CQpiQ+6MGfqxBVIE8X//q2wPCWEB8txzSvfQ8uU5ffWIEfYlLIcNA0JC\nUH/5cm3B5C516mgHewUGcv///FPZHhPD3ikyD6Dz58/zKqV3b/scSnIaNeLAtC1bTOq8PcXyKTG6\nIjhwgAVBQIDSc0hi8GDeR2sF6G1my3Jjf/755/jH125MNxklvW5Bamqq1f24KHDixAnE65V+bNCA\nM4eq8/PImTiRBYE6yr5zZ1YxLV6sbB80iGdvauEREAAsX46GW7eiU3q6y9ehy//+x6kitKhQwT4X\nPsC1FXbvtn5MS0tD5cqVOQZh40b9Gb8QvKLQWoGYRLEVBHorgsREtgdItoImTVg9pxVEFhLCqsfC\nqDHfpk0b3H///dbP8oAzP9qU5LoFx44dQ/Xq1Qu7G1ZOnjypLwgAnr3rqYcAngW3aqWdb+ell9iW\nIPcRDwjg6mazZvHsTU7Fiph5663o/PXXjmfervDHH5zDXouYGGvdZgVNmigEgbSKQ3w8JzyTbbOj\nTx8WBET6+3iAR0+LEGKsEGK35TVGY3snIcRFIcR2y8sno5kj1VBwMNC8OWd4lWIJTp605RxSM2gQ\nZ7/ViAfxOrNmzbIu9b///nts2rTJ953wc1NwU60IAOCee1iXrpMOAoC1wI2dCqlpU55Fq4Mu69Rh\nXe5jj9k9zJuuXcPBN95g45+nWT2vXOEB45ZbtLfHxmoLgsRERVpq64oAYHXSzz/rn7NZMxYCXtIM\nuC0IhBCNADwO4FYAzQDcK4SopbHrb0TUwvLySdb/ChXYzqQRZQ6A1UNHjwLp6Zz+/Ngx/t/JPYck\ngoL43po61efV49C4cWMMHDjQ+rmklbT0Y5zU1NQisyIgIpw8eRJxcXH6OwUGcpCYo7xabdrwAKi1\nz4wZ7BV09qyyfeRIXsqrhMTp06cR1a0beyMNG+aZmuXPP1m1pVfIRm9F0KgRJzizBMalpaVZc4w5\nFQRC8KrAW95D7vqdAugL4D3Z58kAnlPt0wnAdwaP59iX1kWqVbOP65D44gui++7jeJM9e9hNt317\nOzdfKzduENWrR7R+valdNMShQ4coKCjIGluwdu1a33eiGIBiHkfQpUsXWl8YN6gG586do6ioKOc7\npqURRUURpafr77NrF/vsX75sv+2554gGDrRvP3yYYw7+/ZeIOFAzODiYcnNzefuOHUQVKxK99x4H\nq7nC9etEiYlEH36ov8+vvxJ16KC9rXZta7Rr9erV6fDhw9x+/jxR2bJEUh+1+N//iOrXVzSZdV97\nohraA6CDEKKcECIMwN0AtNaCbYUQO4UQPwghGnpwPpdwZCdQp5po0oRjCvSSzQUGcuqSKVN8vyqo\nXbs2hg4dav3sXxX40aIoqYac2gckKlbk3EBz5+rv06QJZyfVyr01bRrHHKirnNWqZatPkJ2Ns2fP\nIjo62lojHM2asa53/nzeRysfjR4TJ/LA8dhj+vvExADnzmlvs6iHiEi5Iihfnssmbt6sf9xWrbiv\njgrwuInbgoCIUgDMBfATgB8B7ACg1rJvA1CNiJoBWAjAZyV3HHkOSbUoKla0CQJA23NI4sEH+X+g\nrkjnCyZPnozSpUsDALZv346vvOg94OfmIz8/HydPnkQ1V4qseBGn9gE5L7zA7qR6lcwATlG9YIG9\nuiU8nNVGTz3F5SrlDB/OAUIjR+LUyZOoUqWKcnuDBjzoli7Nuv6dO533dc0ajmFYvNhxqmQ91RDA\ng82uXbh48SJCQ0OtpWoBOFcPBQRwYjsvVC7zyFhMRB8R0a1E1BnARQAHVNuvElGW5f0aAMFCCN2o\njmnTpllfycnJnnTNocFYykQK2ATBxYuO008X5qqgSpUqGD16tPXziy++iBvqtLZ+FCQnJyvup+LM\n6dOnUb58eYQ6Kr7uQ1wSBFWq8Ox6zhz9fWrX5pmY1sqhRw9241TXMxCCBczffyP4ww/tBQHAvvnv\nvccPdrduHPV8/Lh2H9LTgccf5/oAzgLToqOBzExt75PERGD3buVqQMKZIACAXr2AVasc7+MOnuiV\nAMRa/lYD8C+AsqrtFWXvWwE45uBY+roxN3j9daJx4/S3z55N1KcPUefObEuoXNk+55Ca/Hyipk2J\nvv3W1K4a4vz581S2bFmrreBDRzpKP3agGNsIfv/9d2rbtq3Xz2OUSZMm0cyZM41/IT2dk7I5ykF0\n6hRRuXJEWrm30tPZjrB9u/22AwcoKyKC5t53n+M+nDzJNofoaKJHHiHasoVtDfv2Ee3cSdSjB1FS\nkvFrKlfOPnkeEdHBg0RxcbRx40bq1KmTctvVq0Th4fxXj9xc7qPldzDrvvbU2forIcQeAN8CGEFE\nl4UQw4QQT1q29xVC7BFC7AAwH8BDHp7PMI5WBACvCI4d4xVB9eoc+R0To+05JBEQwBOPKVO8Gu2t\nSfny5fHcc89ZP0+bNg05em5RfkoUx44dKzL2AcDFFQHAbn5Dh3JsgB5VqrAK6Omntb9Yu9/PAAAZ\nJUlEQVQ/Zw4fQ12zOCEBK+69F8N/+cWx+qlqVa59cPgwB6w9/DDP0B94gO0IkZGupRnQUw/Vrg3k\n5uLS7t32K4LwcPZGchTBGhzMrrfffmu8LwbwVDXUkYgaE1FzIkq2tC0iosWW92/Jtt9GRH+b0GdD\nODIWA0DLlmxzuXCBgxcbN+Z7wVl1svvuY5dSb6zOnDFu3DhrmPzx48exaNEi33fCT5GjqAWTuSwI\nAE4bsWKFfaEZOS++yMVttCKSH3uMBYJG8rlfw8Kw/447uA6wLNePJlFRbBA+cIBnhSkp7Pu/fDkP\nwkbREwRCAO3bI2TzZlsMgZyuXfVrPEt4QT1UbMMvHRmLAU42V6MGTzQOHWI7QXi4c0EgBLswT53q\n+1VBmTJl8MILL1g/z549G1ed3dh+ij1FyWMIcFMQxMRwtLFa1y+nVCmOHh4zxt4rRwjgk0+ApUvt\nvIhOnTqFc088wfr5fv3sVw3ewJHBuH17RO3ZY78iANjmsXat42PfeScbujMyPO+nhWIrCCpXBtLS\ntO01Em3aABERNoPxjRvG6hXfdRd/zxeFg9QMHz7c+pCdPXsWb6rrtvopcRSlFQER4dSpU6hatarr\nX37uOTaWbtigv0/btqy2GWOXyICjQj/7jFcHMjXQ6dOnUTUujiuXCcEBZd72+HAiCOJSU7UFwS23\n8MClldBOIiwMuP124IcfzOkrirEgCAlh47068FBO69YsKCRBkJHh2IVUQgh2U542zbGg8QalSpVS\nZCN99dVXkWHizMDPzUdRshGcO3cOERERSrdIo0RGAu+/z9456hTUcmbO5JTTWuqRTp3YljBwoPXh\nPHXqFHsNBQfz7G3PHu8nEHMkCJo1Q8yVK4iPiLDfFhgIdO9uHxuhxmT1ULEVBIBzO0Hr1vy/kgTB\n0aP6OYfUdO3KExB1iVVf8Oijj6Ju3boAgEuXLuGVV17xfSf8FAkKCgpw4sSJIrMicEstJKd7dzaG\njhunv09YGKuIRo7UHmyTkqyztezsbFy9etVWlCY8HPj+e9b5O0p65yl6+YYAIDgY/5QqhZpnzmhv\nN6Ieuvde566mLlCsBYEzz6FGjXjisW8frx7KluW/R444P7a0Kpg+XVlT2xcEBQUpKpctWLAAZ/Ru\nKj/FmrS0NERGRloDDgsbjwUBwIVmfv/dcbGW9u3Zm0c287cSGMgqovfew8XPPkPlypWV2WgrVOAZ\n90svAZ9/7llf9XC0IgDwe0EBKqizpEp0786DvCNbRvny+knv3KBYCwJnBuOgIE5kuH8/f27ShG0L\nRtRDAKdGr1aNY0x8Td++fa3Vt65fv66oX+Cn5FDUDMVOk80ZISKC008PH+5wMMXs2ZyZVKuca+XK\nwIoViH7uObQpV85+e61aPOseN86+LKYZOBAEubm5+DknB2E7dmh/t1Iljop2Vh6xVy8PO2mjWAsC\nZysCAOjQgT3KLl9mQVCqlDGDscSMGfzKzfWsr64SEBCgGPwXL16Mo46CIPwYwpI7a70QYr8QYp0Q\nItLBvgGW9OoOpq7epSgZigGTVgQAz/gHDtRMKW0lKIhLVL73nnbul9tuw65+/fDa4cPaNYEbN2Z/\n/Ecf5RWImTgQBOnp6ThSoQLEjh36VdqMqIceeMDDTtoo1oLAmY0AYM+hUqVsLqS5ua4Jgvbtueyl\nVv0Mb9OjRw906NABAJCXl1fsUyn4iIkANhBRPQAbAUxysO9YcER9oVGUDMWAiYIA4Bn/1avahekl\nKlViff9jjwGpqXabf69fH6nVq3NhES1/7zZt2NDXpw+gN0N3BweCIC0tDWWrVOF8R1u3an//rruc\nCwKzfmeUAEHgSDUEsME4J4fjRxIT+X9nVDUkMX06F0bydaCvutD9p59+ir2uSDE/WtwP4BPL+08A\naE67hBBx4Iy77/uoX5oUNdWQqYIgJISDxz7/3LFXRocOXNi+b1+7Gfbp06fxZ//+/GDPmKH9/W7d\n2LX07rtdf/j1cJCB9MyZMxxM1r69fhRxmzYc5WxmeU0HFGtBYEQ1FBfH99vmzSygT50y7jkk0aYN\nrybeL4QhoX379rj77rsBsA/3i45mT36MUIGI0gGAiNIAaFRgBwDMA/A8OPdToVFsVUMSsbGsvhk7\n1nHx9qefZr36iBGKGIHTp0+jcvXqXNDlww/1C9L07s0pJrp3Z/WAp0RGckZUDYOvNeGcI0EQHMwp\nLpy5kZpEkE/OUkhUrcoDO5HjrLEJCbxCCw1lG9LFi+w5lJBg/FwzZnD6iSFDOLOtL5k1axZ+tBi8\nVq1ahc2bN6NVq1a+7cRNhBDiJwAV5U3gAV2rlKrdQC+EuAdAOhHtFEJ0tnxfF7nKrnPnzujcubPL\nfdbj6NGjRWZFcOPGDZw5c8a9YDJHJCYCixYB/fvzLC1IY9gSggf61q15FdGvHwA2XlepUoVVSN98\nw1G5TZtyWUs1//kP17Dt2hVITubUA+6SmckzzOxsu9QUp0+f5hVBs2aK0pV2SP0YNMjalJyc7HFm\nZk3MyFxnxgteytIYFUV04YLjfYYNI6pUid/368cZRvWqlTni/vuJ5s1z/Xtm8NBDD1kzk3bt2rVw\nOlGEgcEsjQD2wZI1F0AlAPs09nkJwHEARwCcAXAVwBKd43ntmnJycig0NJSys7O9dg5XOHToEFWv\nXt17J2jblujLLx3vs2EDVwHLySEiovj4eDp69Kht+7x5XI4wP1//GAsXEsXHcwZSd3nqKaJRozQ3\nDR48mBYvXkyUnEx02236x/jxR6Ju3Ryexuh97exVrFVDgDH1UPfuNrtOkyYsyN1RtU+fzinT1TUy\nfMGMGTMQGBgIANiwYQM2btzo+04UD1YDeMzy/lFwZl0FRPQCEVUjoloA+gPYSESD1Pt5m0OHDiE+\nPr7I1CE4cOAAElxZRrvKhAlczN5Reog77uDZ/uLFyMnJQXp6utKddcwYXj0sWKB/jJEjuSLa3Xdz\nVlNX0wfs3MkqKJ28SVYDf0oK66P1qFwZ8FF8ULEXBEYMxt26cVBYWhoLguxs9wRB06as9nNUj9tb\n1K1bF4MHD7Z+9pe0dJu5ALoJIfYDuAPAHAAQQlQWQnxfqD1TkZKSggaOBhIfc/DgQe8Kgp49+UF1\n5vc/dy4waxZO7N2L+Ph4BMlVSQEBrEKaNcsWQKRFnz6sL/7xR1bROJtNSuzaxSqm6dN1C9ikpqay\nXSclBahfX/9YfkFgHkZWBGXKsAvpmjUsCNLT3XcemDaNbU6ulEE1iylTplhnh3///TdWO4rM9KMJ\nEWUQUVciqkdE3YnooqX9DBHdq7H/r0R0n+97Cuzbt6/ICQIp9YlXCAgAJk/mADJHk5ymTXmZ/9pr\nqFWrlv32OnV4ZdGrl3Z8gUS1alzbuFs3HhiGDgW2b9feNzub+3bHHWzYHjZMczdFWdF9+xwLgthY\n7p8PgpSKvSAwsiIAOB31L7+wfejaNdc9hyQaNeJ7YeFC17/rKfHx8RgxYoT18+TJk5Hv66x4fnzG\nvn37UN/RQOJjvL4iAHimfvGi8zw7s2ah6nffoa1eWcmhQzk1gFaKCjmBgVxXOSWFvZJ69WKD9MyZ\nnApj3jxg/nygeXOePf7zDx9bxzvlzJkziI6ORqlSpZyvCAICOB1GWprjazWBEiEIjKzqGjRg1V5A\nAAv/yEhjOYe0mDKF7w9Hkw1vMWnSJERYshru2bMHn3srl4qfQqeoqYa8biMAeGBOSmLVjiOqVcPa\nVq0w9K+/9Af6N990HrAmUbEiC4QjR3j/69c5TiA1lbNWvvQSF7bXqo0swxr3kZXFqoeaNR2f10fq\noWIvCIyohgBOcy5laGjShHM6uaseql+fI8Tnz3fv+54QGxuLZ555xvp56tSpyPV1/gs/XqegoAAp\nKSlFZkWQm5uLU6dOoaazgc0MBgzgIvNO0kIsLVsWoeHh+obh4GB2NV2+3HjyucBAzvz50kusA54/\nH3jrLcN5f6z2gQMHWEVlcfDQJT6er9XLFHtBYFQ11LEjC+kLF1gQBAa6ZzCWmDKF77/MTPeP4S7P\nPPMMoi1L4iNHjuCDDz7wfSf8eJWTJ0+iTJkyiIqKKuyuAOD7rFq1agh2pZyjuwQFAZMmOV0VHD56\nFGdfeolTVRw8qL1TTAzHF4wZY36+IQ2sHkPO7AMSdeqYE+DmhGIvCIyuCOrXZ7XQ33+zIMjK8kwQ\n1KnDJVLfeMP9Y7hLZGQkJk2ypciZOXMmsrKyfN8RP16jqKmFfGIfkPPoo6xj1wmuIiIcOXIEcZ07\nsxH38cf1a8smJvKKoE8fx4XjTcCwx5BEnTqcasLLFHtBEB3NBn1nvv0xMbwKSE5mQXDmjOdpR158\nkWtfXLjg2XHcYeTIkRxRCTZQLSwM67Ufr1HUPIZ8Yh+QExIC/Pe/wBNP8KxNxYULFxAcHIzIyEhg\n9Gi2EziKHejalfMZ9e7t1ZWB4RgCCf+KwByEMKYeEoLVcb/9xvaBiAj+X3nidFOjBvDgg8Brr7l/\nDHcpXbo0psjK8c2ZMweXHJX/83NTUdQEgc9XBADndGnTho3HKg4fPmyzVwQGAkuWsMvor7/qH08S\nBn36eE0YuLwiqF3bLwjMwqh6qEkTLmdKxK7IZcu67zkkkZQELF7suHaytxgyZAhq164NAMjMzMRr\nhSGR/HiFoigIvBpDoMebb3JNgk2bFM1Hjhyx3vsAeED99FPOV3TsmP7x5CuD774ztatExIIgLo5t\nFkZ+r7g4TnvgZdVuiRAERg3GiYk8eZBqGJcr57l6KD4eePhhdjn2NcHBwZghS707b948nC0MieTH\ndIqiIPD5igDg5ftbb3G2x+vXrc1HjhyxDybr3h0YP56Nd450xV27cl3j4cPZyGdShP7Zs2cRERGB\n8PPnWRetVbxeTWAgu5h6OiN1QokRBEZWBAkJvAr4+28WCkJ4ZjCWmDSJo9oLo6xw//790aRJEwDA\ntWvXFPUL/NycnD9/Hjk5OZzBsgiQlZWFs2fPcrRsYdCrFwd0yVShmoIA4NKUzZtzIRtHA3zr1sCf\nf9pKZjqqH2wQl+0DEj4wGJcIQWBUNZSQwPeG5Dl0+bI5gqBKFXZymDPH82O5irqk5TvvvIPjPvBL\n9uM9pNWAcJRb3YdI+vhAZz7x3uS//2WVjkWdc/jwYaVqSEIILkJz8qSmbUFB9eqscjp1itNXexjh\n67J9QMIHdoISIQiMqoYSEoCMDK4Z3aABq+bMKvg1cSKrKI3mrjKTe++9F23btgXAgT/TdbIi+rk5\nKIpqoUKxD8iJjQVWrWI30X/+0V8RAJxYbPVqjh+YO9fxccuU4cI47dsDLVoA69e73UWXYwgkfOA5\nVCIEgdEVQblyQFiYbfCvUcP9nENqKlZkT7fC0MyoS1p+/PHH2O8o86KfIk1RFASFYh9Q06oVsHAh\nqGdPBKjTT6uJjQV++ok9Od5+2/FxAwO58tRnn7EtYuJEt1RFbq8IirogEEKMFULstrzG6OyzQAhx\nUAixUwjRzJPzuYvRFQHAq4L4eK5j3bQp23PMstOMH88ODho1tr1O586d0a1bNwCcnsBf0vLmZd++\nfWjYsGFhd8OKz2MIHNGvH8737o1vhUCQs9QqVauyMHj5ZV6uO6NLFx4Ydu/mnDQ7d7rUNbdtBLVr\nF10bgRCiEYDHAdwKoBmAe4UQtVT73AWgNhElABgG4F0P+uo2FStyUNdPPyU73Tchge8PyU5Qtqxr\nnkOOysjFxLDdSaaydxt3ytXJVwUrVqzAdr2Uuh6cw1V8cY7igvRbmbEiMPN337Jli2mCwIx+be3e\nHeeio5HcowfXL3BErVqs7hk/HvjyS+f9io1lj6KRI9luMGGCYdfO1NRU1A4PR/L16zwoGaV6dZ7J\nejFnmCcrggYA/iaiHCLKB/AbgN6qfe4HsAQAiOhvAJFCCBd+AXMIDOTf/Ycfkp3um5DA6iFJEBC5\nZidwdiM/+ywnKfR0leHOA3Prrbeid2/bvyjJibHMLwiKFsnJybh69SrOnTvncZ1iM3/3I0eOmGYj\nMKNfR44exbf33ovkU6dYleNMt9ugAReJHzuW1T/O+iUEMHgwrwxOnOCBYtUq/RQW4BiC9KNHUXfy\nZCQ3aeK4iLqakBBWaziKf/AQTwTBHgAdhBDlhBBhAO4GEK/apyqAE7LPpyxtPicuzlixmIQEnkRI\nguDSJfMMxgCnvBg1itOZFwYzZ85EQAD/29euXYvffvutcDrixy3279+PhISEwvXQkXHlyhXk5ORY\n05kUBQ4fPoxqCQkcPHbyJBeJcTBIA2B/8Q0bgOefBz75xNiJKlRgT6W33+YEeM2bczZTjXNlpKVh\nWW4ugmrX5ngGV/GyncBtQUBEKeCyfj8B+BHADgBFtgpKXJyx+gB167KXWEYGEB7OMSq7dpnbl3Hj\neHV54IC5xzVCw4YN8cgjj1g/+0ta3lwURUNxdHS0dXJRFLB6DAUHs3dQSgrXEnBGo0bAxo3sVvrF\nF8ZPeOedXNbypZc4n0ytWsBTT/Fs7/33gc8/R/ADDyAoLIwDitxx+/VyUJkwaxAQQswGcIKI3pW1\nvQvgFyL6wvI5BUAnIkrX+L5/NPLjVYjI5473/vvaj7cx474Ocr6LPkKIWCI6J4SoBqAXgDaqXVYD\nGAngCyFEGwAXtYQAUDgPqR8/3sZ/X/u5GfBIEAD4SggRDSAPwAgiuiyEGAaAiGgxEf0ohLhbCHEI\nwDUAgz3tsB8/fvz4MRfTVEN+/Pjx4+fmpNAtPEKIHkKIFCHEASHEBC+e55gQ4h8hxA4hxGaTjvmB\nECJdCLFL1lZOCLFeCLFfCLFOCBHphXNMFUKcFEJst7x6eHiOOCHERiHEXnlwoBeuRX2e0WZfjxAi\nVAjxt+X/vFsIMdUb16JxXtOCK50dSwjRSQhxUfZ7TZZtc/ueVD+LHh5L8bzpHKuvEGKPECJfCNHC\nwe9hpF9Gj2WkX68IIfZZ/k9fCSHKetAvo8cy0q8Zsn3WCiEqGemX3m+hgIgK7QUWRIcAVAcQDGAn\ngPpeOtcRAOVMPmZ7cDDdLlnbXADjLe8nAJjjhXNMBfCMiddRCUAzy/sIAPsB1PfCteidx+zrCbP8\nDQTwF4BWZl+L6nyNAOwCEGo553oAtVT73AXgB8v71gD+8uBYnQCsNvOe1HkWH3b3/lY/bzr9qgcg\nAcBGAC10jmO0X06P5UK/ugIIsLyfA+BlD/rl9Fgu9CtC9n40gHcM9svpmFrYK4JWAA4SUSoR5QFY\nDg5C8wYCJq+AiOgPAOry9PcDkByRPwHwgBfOAfD1mAIRpRHRTsv7qwD2AYiD+deidR4prsTM65FC\nPUPBdjCCydeiwszgSiPHAnR+Lw/uSa1nMd7NY0n9sz5vWv0iov1EdFDvWlzpl8FjGe3XBiKSggH+\nAj8L7vbLyLGM9uuq7GM4AK3gCLfG1MIWBOqAs5PwXsAZAfhJCLFFCDHUS+cAgApk8YwiojQAFbx0\nnlGW5eb7Zqo5hBA1wDORvwBU9Na1yM7zt6XJtOsRQgQIIXYASAPwExFtgRevBeYGVxo5FgC0tfxe\nPwghnCUeMnJPGn0Wjd7fZj1vZo8RrvZrCIA1JvVL71iG+yWEmCWEOA5efUzR2MWt36uwBYEvaUdE\nLcAP1kghRHsfndcb1vi3weqCZuDB7g0zDiqEiACwEsBYy+xD3XdTrkXjPKZeDxEVEFFz8OyrleC8\nWF65Fsv5TAuuNHisbQCqWX6vhQC+cfU07vTNxWMV1vPmDMP9EkIkAcgjomWentTAsQz1i4gmE1E1\nAJ+B1UOmUNiC4BQAeVmjOEub6RDRGcvfcwBWgZdQ3iBdWvJbjDmm14YkonNkUQgCeA9AS0+PKYQI\nAg/OnxLRt5Zm069F6zzeuB7LcS8DSAbQA17+vxDRR0R0KxF1BnARgDpu/BSUM3vde93ZsYjoqqT+\nIqI1AIIFu3HrYeTajT6Lhn5HE583U8cIo/0SQjwGHpQf9rRfBo7lzu+1DEAfT/olp7AFwRYAdYQQ\n1YUQIQD6g4PQTEUIEWaZhUIIEQ6gO3gJbsrhodRLrgbwmOX9owC+VX/B03OovAV6w5xr+RDAv0T0\npqzNG9didx4zr0cIESOploQQpQF0A9sivHEt8vPGWv5KwZXqmd9qAIMs+zgMrnR2LLltQQjRCuwG\nniHfBa7fk3rPosvHcvC8qY+l+JpOu9F+OT2W0X4J9lp7HsB9RJTjSb+MHMuFftWRfe0B8H1ttF+O\ncWZN9vYLPFvbD+AggIleOkdNsPV8B4DdZp0H/ICeBpAD4Dg4YK4cgA2Wa1oPIMoL51gC9izZCVYL\nVPTwHO3A6gfpN9pu+b9Em3wteucx7XoANLEcd6flmEmWdlOvReO8v4Ef3h0AOlvahgF4UrbPQrBH\nxz9w7Nni8FjgaH1p+58AWrtzTwKoDOB72XcVz6K7x9J63nSO9QBYn30dwBkAazzol9NjudCvgwBS\nLffRdgBve9Avp8dyoV8rLdt3ggVwZSP9MnL/+gPK/Pjx46eEU9iqIT9+/PjxU8j4BYEfP378lHD8\ngsCPHz9+Sjh+QeDHjx8/JRy/IPDjx4+fEo5fEPjx48dPCccvCPz48eOnhOMXBH78+PFTwvk/iAUE\noCZf57AAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109c68d90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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M6N6dncf2RqkEevZkRZAfo1hsxa1bvJJbsoRXAh99JO+/MIQUFYGU/ARSVAShoaFITEyE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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a7ce750>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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IISoCWASgMRGZfJMnTJig+TsqKgpRUVG2ktOAt956SxIbnagpWLAgnj175mgx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\nINDR0dEp4vwfBdoOk2bSoe8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10aa06b10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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L/BJKYilUqBDu3buHwpmsdWOufi1JjQBgE03z5mwasrfnWWrt2pwF3L9/+uM9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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10aebc7d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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9pDQj0EQxkUScY/KMwDiSUgTjxk3D1KlTM38fPHgQTZo00UnKpFAoEB4ejvDw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\nji4IdHR0dHI5uiDQ0dHRyeX8P+9RJO9yuTYgAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x108469810>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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uXVpSwWJAGjIZVQRCiHlCiNtCiOMax7oKIU4IIRRCiDoGzjWYi60PXaWmvby8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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1093dcd90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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BUxjiPgC/ehbBlpqPMWvWY/TrF4gpU/aimd4bfdq0abh//0OsWKFCly5ASgpX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cAAAD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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x108336b10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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KAgBwcADWrgVu32YNYcIE4LvvgC5dgG3bZKexTIYSCOC+zucH6m3JCCECALQloiXQWc87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\ntCiZyI2aRgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109f9d6d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Dje9Rqm2pCCFCALQhoiXQWM/bkeTKlQvZsmXDQ4lUYCxevDhu3rwpGfu3uhy11EpNSDFy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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b60afd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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mDecugCJa/wert2lTFcAqIYQA4AfgfSFEChFt0r+YNVek0kdjb65du7bNyjCHkJAQ3Llz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10e6e6890>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = np.hstack((np.ones_like(x),x))\n",
    "xpsub = np.arange(9,13,0.02)\n",
    "ypsub = np.arange(-0.5,0.5,0.02)\n",
    "Xpsub,Ypsub = np.meshgrid(xp,yp)\n",
    "for i in np.arange(3,27,2):\n",
    "    Xsub = X[0:i,:]\n",
    "    tsub = t[0:i]\n",
    "    siw = np.linalg.inv((1.0/sig_sq)*np.dot(Xsub.T,Xsub) + np.linalg.inv(prior_cov))\n",
    "    muw = np.dot(siw,(1.0/sig_sq)*np.dot(Xsub.T,tsub) + np.dot(np.linalg.inv(prior_cov),prior_mean))\n",
    "    plt.figure()\n",
    "    plt.subplot(1,2,1)\n",
    "    w_samp = np.random.multivariate_normal(muw.flatten(),siw,10)\n",
    "    plt.plot(x,t,'ro')\n",
    "    plt.plot([0,30],np.dot(w_samp,plot_x.T).T,'b')\n",
    "    plt.plot([0,30],np.dot(plot_x,muw),'k',linewidth=3)\n",
    "    plt.ylim([9,12])\n",
    "    plt.title('First ' + str(i) + ' points, samples')\n",
    "    plt.subplot(1,2,2)\n",
    "    Zposterior = gaussian2d(muw,siw,Xpsub,Ypsub)\n",
    "    CS = plt.contour(Xp,Yp,Z,20,colors='k')\n",
    "    CS = plt.contour(Xpsub,Ypsub,Zposterior,colors='r')\n",
    "    plt.xlim([9,13])\n",
    "    plt.ylim([-0.5,0.5])\n",
    "    plt.title('First ' + str(i) + ' points, contours')\n",
    "    \n",
    "print muw,siw"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<p>We'll now look at predictions.</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "max_order = 1\n",
    "test_x = np.linspace(0,100,100)[:,None]\n",
    "X = np.ones_like(x)\n",
    "testX = np.ones_like(test_x)\n",
    "for i in np.arange(max_order):\n",
    "    X = np.hstack((X,x**(i+1)))\n",
    "    testX = np.hstack((testX,test_x**(i+1)))\n",
    "    \n",
    "siw = np.linalg.inv((1.0/sig_sq)*np.dot(X.T,X) + np.linalg.inv(prior_cov))\n",
    "muw = np.dot(siw,(1.0/sig_sq)*np.dot(X.T,t) + np.dot(np.linalg.inv(prior_cov),prior_mean))\n",
    "\n",
    "predmean = np.dot(testX,muw)\n",
    "predvar = sig_sq + np.diag(np.dot(testX,np.dot((siw),testX.T)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Container object of 3 artists>"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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/fbvsOdRfRAIoo1+0IcGUnw8nnGCXKyrggw/s8rffwoIFdvmgg2DhQrvcp4+9LCyEI4+0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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x108a77190>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x,t,'ro')\n",
    "plt.plot(test_x,predmean,'b')\n",
    "plt.errorbar(test_x.flatten(),predmean.flatten(),yerr=predvar.flatten())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
